Podcast
Questions and Answers
Who is the chairman of the ward development meeting?
Who is the chairman of the ward development meeting?
The District, Town, Municipal and City Councils fall under which category?
The District, Town, Municipal and City Councils fall under which category?
Who is responsible for making bylaws in a District Council?
Who is responsible for making bylaws in a District Council?
Which of the following symbols is found in the President’s flag?
Which of the following symbols is found in the President’s flag?
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The symbol that represents natural resources in the National Emblem is?
The symbol that represents natural resources in the National Emblem is?
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Why is it important for eligible voters to participate in the election of the President and Members of Parliament?
Why is it important for eligible voters to participate in the election of the President and Members of Parliament?
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Observing the law, human rights, truth and transparency, and freedom of the mass media are principles of?
Observing the law, human rights, truth and transparency, and freedom of the mass media are principles of?
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Which groups deal with women's rights in Tanzania?
Which groups deal with women's rights in Tanzania?
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The responsibility of protecting citizens and their property in Tanzania is within the hands of?
The responsibility of protecting citizens and their property in Tanzania is within the hands of?
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When was the Tanzania Peoples Defence Forces (TPDF) established?
When was the Tanzania Peoples Defence Forces (TPDF) established?
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Why is it important for Tanzania to promote the Kiswahili language?
Why is it important for Tanzania to promote the Kiswahili language?
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There are three types of Economic planning which are?
There are three types of Economic planning which are?
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One of the negative effects of globalization to Tanzania is?
One of the negative effects of globalization to Tanzania is?
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What does rule of law mean?
What does rule of law mean?
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A family comprises?
A family comprises?
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The basic needs of a family include?
The basic needs of a family include?
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During which age did early man domesticate crops and animals?
During which age did early man domesticate crops and animals?
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When are the cave paintings at Kondoa Irangi believed to be drawn?
When are the cave paintings at Kondoa Irangi believed to be drawn?
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Which treaty closed the Zanzibar slave market?
Which treaty closed the Zanzibar slave market?
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What was one of the advantages of commercial contacts between Tanganyika and the foreigners?
What was one of the advantages of commercial contacts between Tanganyika and the foreigners?
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Who was the first German governor in Tanganyika?
Who was the first German governor in Tanganyika?
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Who was the founder of indirect rule policy in Africa?
Who was the founder of indirect rule policy in Africa?
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The Berlin conference of 1884-1885 was called by?
The Berlin conference of 1884-1885 was called by?
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When did the union between Tanganyika and Zanzibar take place?
When did the union between Tanganyika and Zanzibar take place?
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What was the aim of the Arusha Declaration?
What was the aim of the Arusha Declaration?
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Which of the following countries achieved independence through armed struggle?
Which of the following countries achieved independence through armed struggle?
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One of the objectives for the establishment of UNO was to?
One of the objectives for the establishment of UNO was to?
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Katanga was a famous town in the production of?
Katanga was a famous town in the production of?
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Before the British rule, Zanzibar was ruled by?
Before the British rule, Zanzibar was ruled by?
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The German East African Company failed to administer Tanganyika due to?
The German East African Company failed to administer Tanganyika due to?
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Who sponsored the search for the sea route to India?
Who sponsored the search for the sea route to India?
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What was the major slave market in East Africa?
What was the major slave market in East Africa?
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Japan is more capable of conducting trade than Tanzania because it has?
Japan is more capable of conducting trade than Tanzania because it has?
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A cross section from a map shows?
A cross section from a map shows?
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What is the highest mountain in Africa?
What is the highest mountain in Africa?
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One of the following is the quality of a photograph?
One of the following is the quality of a photograph?
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What may cause the increase of the volume of ocean water due to snow melting at the poles?
What may cause the increase of the volume of ocean water due to snow melting at the poles?
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If it is 06:00 pm in Tanzania which is 45° East, what will the time be in Rwanda which lies at 30° East?
If it is 06:00 pm in Tanzania which is 45° East, what will the time be in Rwanda which lies at 30° East?
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Which one of the following is the effect of volcanic eruption?
Which one of the following is the effect of volcanic eruption?
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Which country is famous for ship manufacturing in the world?
Which country is famous for ship manufacturing in the world?
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The direction of a place on the map is determined by using?
The direction of a place on the map is determined by using?
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The Indian Ocean is found in which direction of Tanzania?
The Indian Ocean is found in which direction of Tanzania?
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The vegetation which affects the environment of Lake Victoria is?
The vegetation which affects the environment of Lake Victoria is?
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The vegetation found in the equatorial region is?
The vegetation found in the equatorial region is?
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What is the deepest lake in East Africa?
What is the deepest lake in East Africa?
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What is the essential element of a map used to show the relationship between map distance and ground distance?
What is the essential element of a map used to show the relationship between map distance and ground distance?
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Which of the following energy sources can cause environmental degradation?
Which of the following energy sources can cause environmental degradation?
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What does modern animal husbandry consider?
What does modern animal husbandry consider?
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Seasons of the year occur due to?
Seasons of the year occur due to?
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Which regions have large tea farms?
Which regions have large tea farms?
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225 + 59 + 3,772 =
225 + 59 + 3,772 =
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80,709 - 5,987 =
80,709 - 5,987 =
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170.2 ÷ 74 =
170.2 ÷ 74 =
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94 × 765 =
94 × 765 =
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3/5 + 1/6 =
3/5 + 1/6 =
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2/5 - 2/3 =
2/5 - 2/3 =
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-14 × (-19 + 16) =
-14 × (-19 + 16) =
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(+17) + (-35) =
(+17) + (-35) =
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1 1/16 ÷ 6 =
1 1/16 ÷ 6 =
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7,590 ÷ 15 =
7,590 ÷ 15 =
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30.24 ÷ 12 =
30.24 ÷ 12 =
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19.62 + 6.35 + 21.1 =
19.62 + 6.35 + 21.1 =
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If m = -7 and n = -5, find the value of m+n.
If m = -7 and n = -5, find the value of m+n.
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Compute the value of 12 − (-24) + (-9) × 4.
Compute the value of 12 − (-24) + (-9) × 4.
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Find the product of the prime numbers between 1 and 10.
Find the product of the prime numbers between 1 and 10.
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Find the Greatest Common Factor (G.C.F) of 12, 24, and 36.
Find the Greatest Common Factor (G.C.F) of 12, 24, and 36.
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Write 4% as a fraction.
Write 4% as a fraction.
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Simplify 3(m − n) + 5n − 7m.
Simplify 3(m − n) + 5n − 7m.
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Find the value of y if 7 + y = 5.
Find the value of y if 7 + y = 5.
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How many are there in 1/3 : 5/2?
How many are there in 1/3 : 5/2?
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Change the roman number CMXCIX into a normal numeral.
Change the roman number CMXCIX into a normal numeral.
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Write the missing number in the sequence: 1, 4, ___, 16, 25.
Write the missing number in the sequence: 1, 4, ___, 16, 25.
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Find the Lowest Common Multiple (L.C.M) of 6, 9, and 12.
Find the Lowest Common Multiple (L.C.M) of 6, 9, and 12.
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Find the value of A if 2/4 : A = 12:48.
Find the value of A if 2/4 : A = 12:48.
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Find the value of X if dm cm mm - 1 4 6 = ...
Find the value of X if dm cm mm - 1 4 6 = ...
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Find the area of the following rectangle:
Find the area of the following rectangle:
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Find the diameter of the following cylinder if its volume is 61.6 cm³. (Use π = 22/7).
Find the diameter of the following cylinder if its volume is 61.6 cm³. (Use π = 22/7).
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Find the shaded area if the circle inside the square has a radius of 7 cm. (Use π = 22/7).
Find the shaded area if the circle inside the square has a radius of 7 cm. (Use π = 22/7).
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Find the perimeter of the isosceles triangle PQR.
Find the perimeter of the isosceles triangle PQR.
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Find the value of X in the following figure.
Find the value of X in the following figure.
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The area of the following triangle is 66 cm². Find the value of X.
The area of the following triangle is 66 cm². Find the value of X.
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Find the area of the football ground shown. (Use π = 22/7).
Find the area of the football ground shown. (Use π = 22/7).
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Find the area of the following trapezium.
Find the area of the following trapezium.
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Find the surface area of the rectangular prism with the face HEFG open.
Find the surface area of the rectangular prism with the face HEFG open.
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Ilembula Primary School harvested 4,500 kilograms of vegetables shown in a pie chart. Find the number of kilograms for onions that were harvested.
Ilembula Primary School harvested 4,500 kilograms of vegetables shown in a pie chart. Find the number of kilograms for onions that were harvested.
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Find the value of X in the following figure.
Find the value of X in the following figure.
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Find the area of the following parallelogram.
Find the area of the following parallelogram.
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Zebedayo has 7 cows for milk. If each cow gives 5 litres of milk every day, how many litres of milk does she get per week?
Zebedayo has 7 cows for milk. If each cow gives 5 litres of milk every day, how many litres of milk does she get per week?
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Perima has coins and notes worth various amounts. How many shillings does he have in total?
Perima has coins and notes worth various amounts. How many shillings does he have in total?
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Musa deposited money in a bank that gives 5 percent interest rate for one year. If he got an interest of 2,500 shillings, how much did he deposit?
Musa deposited money in a bank that gives 5 percent interest rate for one year. If he got an interest of 2,500 shillings, how much did he deposit?
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Kazaroho answered correctly 45 out of 50 questions in his examination. What percentage did he get?
Kazaroho answered correctly 45 out of 50 questions in his examination. What percentage did he get?
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Mapinduzi Primary School has 28 teachers of which 18 are female. What is the fraction of the male teachers?
Mapinduzi Primary School has 28 teachers of which 18 are female. What is the fraction of the male teachers?
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Maendeleo Primary School has a meeting room with dimensions 12 meters in length and 5.5 meters in width. Find the remaining area after a section of 2.5 m² is allocated for keeping documents.
Maendeleo Primary School has a meeting room with dimensions 12 meters in length and 5.5 meters in width. Find the remaining area after a section of 2.5 m² is allocated for keeping documents.
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Moga and Juma shared one hundred twenty-five thousand shillings in the ratio of 2:3. How much did Juma get?
Moga and Juma shared one hundred twenty-five thousand shillings in the ratio of 2:3. How much did Juma get?
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Maganga’s car travels 20 km with a speed of 80 km per hour. How long does it take to cover the journey?
Maganga’s car travels 20 km with a speed of 80 km per hour. How long does it take to cover the journey?
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A book is sold for 7,500 shillings at Jamali’s shop. If the owner will give a discount of 10 percent, how much will the book be purchased for?
A book is sold for 7,500 shillings at Jamali’s shop. If the owner will give a discount of 10 percent, how much will the book be purchased for?
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Kambona’s monthly salary is 456,500 shillings. If the salary increases by 26 percent, how much will the new salary be?
Kambona’s monthly salary is 456,500 shillings. If the salary increases by 26 percent, how much will the new salary be?
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A businessman sold sugar over three months as follows: January 1,500 kg, February 2,500 kg, and March 1,250 kg. How many tons of sugar were sold in total? (1 Ton = 1,000 kg)
A businessman sold sugar over three months as follows: January 1,500 kg, February 2,500 kg, and March 1,250 kg. How many tons of sugar were sold in total? (1 Ton = 1,000 kg)
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The weight of fruits sold at Mikunda market over four consecutive days were: Monday - 2 tons, Tuesday - 1½ tons, Wednesday - ½ ton, Thursday - 2½ tons. What is the average weight of fruits sold per day in kilograms?
The weight of fruits sold at Mikunda market over four consecutive days were: Monday - 2 tons, Tuesday - 1½ tons, Wednesday - ½ ton, Thursday - 2½ tons. What is the average weight of fruits sold per day in kilograms?
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225 + 59 + 3,772 =
225 + 59 + 3,772 =
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80,709 - 5,987 =
80,709 - 5,987 =
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170.2 ÷ 74 =
170.2 ÷ 74 =
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94 × 765 =
94 × 765 =
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3/5 + 2/3 =
3/5 + 2/3 =
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2/5 - 2/3 =
2/5 - 2/3 =
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-14 × (-19 + 16) =
-14 × (-19 + 16) =
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(+17) + (-35) =
(+17) + (-35) =
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1 1/16 ÷ 6 =
1 1/16 ÷ 6 =
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7,590 ÷ 15 =
7,590 ÷ 15 =
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30.24 ÷ 12 =
30.24 ÷ 12 =
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19.62 + 6.35 + 21.1 =
19.62 + 6.35 + 21.1 =
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If m = -7 and n = -5, find the value of m + n.
If m = -7 and n = -5, find the value of m + n.
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Compute the value of 12 - (-24) + (-9) × 4.
Compute the value of 12 - (-24) + (-9) × 4.
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Find the product of the prime numbers between 1 and 10.
Find the product of the prime numbers between 1 and 10.
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Find the Greatest Common Factor (G.C.F) of 12, 24, and 36.
Find the Greatest Common Factor (G.C.F) of 12, 24, and 36.
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Write 4% as a fraction.
Write 4% as a fraction.
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Simplify 3(m - n) + 5n - 7m.
Simplify 3(m - n) + 5n - 7m.
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Find the value of y if 7 + y = 5.
Find the value of y if 7 + y = 5.
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How many are there in 41/3?
How many are there in 41/3?
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Change the Roman number CMXCIX into a normal numeral.
Change the Roman number CMXCIX into a normal numeral.
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Write the missing number in the sequence: 1, 4, ___, 16, 25.
Write the missing number in the sequence: 1, 4, ___, 16, 25.
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Find the Lowest Common Multiple (L.C.M) of 6, 9, and 12.
Find the Lowest Common Multiple (L.C.M) of 6, 9, and 12.
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Find the value of A if 2 1/4 : A = 12:48.
Find the value of A if 2 1/4 : A = 12:48.
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Dm cm mm; 4 3 5 - 1 4 6
Dm cm mm; 4 3 5 - 1 4 6
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Find the area of the following rectangle:
Find the area of the following rectangle:
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Find the diameter of the cylinder if its volume is 61.6 cm³. (Use π = 22/7)
Find the diameter of the cylinder if its volume is 61.6 cm³. (Use π = 22/7)
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Find the shaded area if the circle inside the square has a radius of 7 cm. (Use π = 22/7)
Find the shaded area if the circle inside the square has a radius of 7 cm. (Use π = 22/7)
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Find the perimeter of triangle PQR.
Find the perimeter of triangle PQR.
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Find the value of x in the following figure.
Find the value of x in the following figure.
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The area of the triangle is 66 cm². Find the value of x.
The area of the triangle is 66 cm². Find the value of x.
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Find the area of the football ground shown in the figure: (Use π = 22/7)
Find the area of the football ground shown in the figure: (Use π = 22/7)
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Find the area of the trapezium.
Find the area of the trapezium.
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Find the average of attendance over five days at Tumbi Primary School.
Find the average of attendance over five days at Tumbi Primary School.
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Find the surface area of the rectangular prism with face HEFG open.
Find the surface area of the rectangular prism with face HEFG open.
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Ilembula Primary School harvested 4,500 kg of vegetables. Find the number of kilograms for onions harvested.
Ilembula Primary School harvested 4,500 kg of vegetables. Find the number of kilograms for onions harvested.
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Find the value of x in the given figure.
Find the value of x in the given figure.
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Find the area of the parallelogram.
Find the area of the parallelogram.
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Zebedayo has 7 cows producing 5 liters each per day. How many liters does she get per week?
Zebedayo has 7 cows producing 5 liters each per day. How many liters does she get per week?
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Perima's notes and coins add up to how much?
Perima's notes and coins add up to how much?
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Musa deposited money earning 5% interest. How much did he deposit if the interest was 2,500 shillings?
Musa deposited money earning 5% interest. How much did he deposit if the interest was 2,500 shillings?
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What percentage did Kazaroho get if he answered 45 out of 50 questions correctly?
What percentage did Kazaroho get if he answered 45 out of 50 questions correctly?
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What is the fraction of male teachers at Mapinduzi Primary School?
What is the fraction of male teachers at Mapinduzi Primary School?
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What is the remaining area in Maendeleo Primary School's meeting room?
What is the remaining area in Maendeleo Primary School's meeting room?
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How much did Juma get when sharing 125,000 shillings in the ratio of 2:3?
How much did Juma get when sharing 125,000 shillings in the ratio of 2:3?
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How long does Maganga's car take to travel 20 km at 80 km per hour?
How long does Maganga's car take to travel 20 km at 80 km per hour?
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If a book costs 7,500 shillings with a 10% discount, how much will it be after the discount?
If a book costs 7,500 shillings with a 10% discount, how much will it be after the discount?
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How much will Kambona's new salary be after a 26% increase from 456,500 shillings?
How much will Kambona's new salary be after a 26% increase from 456,500 shillings?
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How many tons of sugar were sold over three months given the amounts?
How many tons of sugar were sold over three months given the amounts?
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What is the average weight of fruits sold per day at Mikunda market?
What is the average weight of fruits sold per day at Mikunda market?
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Study Notes
Ward Development Meetings
- The chairman of the Ward Development Meeting is the Ward Councillor.
Local Government Structure
- District, Town, Municipal, and City Councils fall under the Local Government.
Bylaw Creation
- The responsibility of making bylaws in a District Council is vested in the Full Council.
National Emblem
- The President’s flag contains the national emblem.
- The Kilimanjaro mountain in the national emblem represents natural resources.
Elections
- It is important for eligible voters to participate in electing the President and Members of Parliament because it is a peaceful way of changing State leadership.
Governance Principles
- Observing the law, human rights, truth and transparency, and freedom of the mass media are principles of good governance.
Women's Rights Organizations
- The following organizations are dedicated to women's rights in Tanzania: UWT, TGNP, and TAMWA.
Citizen Protection
- The responsibility of protecting citizens and their property in Tanzania is held by the Police Force.
Tanzania Peoples Defence Forces (TPDF)
- The TPDF was established in 1964.
Kiswahili Language Promotion
- It is important to promote Kiswahili because it unifies Tanzanians.
Economic Planning
- There are three types of economic planning: short, medium, and long-term plans.
Negative Effects of Globalization
- One negative effect of globalization on Tanzania is the erosion of societal moral values.
Rule of Law
- Rule of law means that the law takes its course.
Family Definition
- A family includes a father, mother, and children.
Basic Needs of Family
- The basic needs of a family include food, clothing, and shelter.
Domestication of Crops and Animals
- The early man domesticated crops and animals during the New Stone Age.
Kondoa Irangi Cave Paintings
- The cave paintings at Kondoa Irangi are believed to have been drawn during the Middle Stone Age.
Zanzibar Slave Market
- The treaty that officially closed the Zanzibar slave market was signed in 1873.
Tanganyika-Foreigner Commercial Contacts
- A positive result of commercial contacts between Tanganyika and foreigners was the availability of goods not domestically produced.
German Governor in Tanganyika
- The first German governor in Tanganyika was Julius Von Soden.
Indirect Rule Policy
- The founder of the indirect rule policy in Africa was Friedrich Lugard.
Berlin Conference
- The Berlin Conference of 1884-1885 was called by Otto Von Bismarck.
Tanganyika-Zanzibar Union
- The union of Tanganyika and Zanzibar took place in 1964.
Arusha Declaration Goals
- The Arusha Declaration aimed at reducing income inequalities among citizens.
Independence through Armed Struggle
- Zimbabwe achieved independence through armed struggle.
United Nations (UN) Objectives
- One objective of the UN's establishment was to maintain peace.
Katanga
- Katanga was famous for its copper production.
Zanzibar Rule
- Before British rule, Zanzibar was ruled by a Sultan.
German East African Company Failures
- The German East African Company failed to administer Tanganyika due to resistances from the Africans.
Search for Sea Route to India
- The search for the sea route to India was sponsored by King Henry.
East African Slave Market
- The major slave market in East Africa was in Zanzibar.
Japan's Trade Advantages
- Japan is more capable of conducting trade than Tanzania because it has more advanced technology.
Cross-Section of Maps
- A cross-section from a map shows the relief (topography) of the land.
Highest Mountain in Africa
- The highest mountain in Africa is Mount Kilimanjaro.
Photographic Qualities
- A photographic quality is that the image can be reduced or increased in size.
Ocean Water Volume Increase
- The increase in the volume of ocean water due to melting snow at the poles could lead to the disruption of coastal areas.
Time Zones
- If it is 6:00 pm in Tanzania (45° East), it will be 5:00 pm in Rwanda (30° East).
Volcanic Eruptions
- One effect of volcanic eruptions is the destruction of infrastructure.
Ship Manufacturing Country
- Japan is famous for ship manufacturing worldwide.
Map Direction Determination
- The direction of a place on a map is determined by using a compass.
Indian Ocean Location
- The Indian Ocean is located to the south of Tanzania.
Lake Vegetation Impacts
- The vegetation affecting the environment of Lake Victoria is the hyacinth.
Equatorial Vegetation
- The vegetation found in the equatorial region is dense forest.
Deepest Lake in East Africa
- The deepest lake in East Africa is Lake Tanganyika.
Map Scale
- The map element that shows the relationship between map distance and ground distance is called the scale.
Environmentally Degrading Energy Source
- Charcoal is the energy source that can cause environmental degradation.
Modern Animal Husbandry
- Modern animal husbandry considers the quality of animals and their products.
Seasons of the Year
- The seasons of the year occur due to the revolution of the Earth around the Sun.
Tea Farms
- The regions with large tea farms are Kilimanjaro and Mbeya.
Mathematical Operations
- Summation: 225 + 59 + 3,772 = 4,056
- Subtraction: 80,709 - 5,987 = 74,722
- Division: 170.2 ÷ 74 = 2.30
- Multiplication: 94 × 765 = 71,910
- Fractions Addition: 3 2/5 + 1 1/3 = 4 11/15
- Fractions Subtraction: 2 1/3 - 2/5 = 3 11/12
- Multiplying Integers: -14 × (-19 + 16) = 42
- Adding Integers: (+17) + (-35) = -18
- Dividing Fractions: 1 1/16 ÷ 6 2/3 = 2 1/33
- Division: 7,590 ÷ 15 = 506
- Division: 30.24 ÷ 12 = 2.52
- Summation: 19.62 + 6.35 + 21.1 = 47.07
- Equation with Variables: If m = -7 and n = -5, then m+n/n-m = -12
- Equation with Multiple Operations: 12 - (-24) + (-9) x 4 = 0
- Finding the product of Prime Numbers: The Product of prime numbers between 1 and 10 is 210
- Finding the Greatest Common Factor: The Greatest Common Factor (GCF) of 12, 24, and 36 is 12
- Converting percentage to fraction: 4% as a fraction is 1/25
- Simplifying Algebraic Expressions: 3(m-n) + 5n - 7m = -4m +2n
- Solving for a variable: 3y - 5 = 5, then y = 10/3
- Dividing Fractions: 1/3 ÷ 41/3 = 3/41
- Roman Numerals: CMXCIX in roman numerals is 999
- Finding the missing number in sequence: 1, 4, 9, 16, 25
- Least Common Multiple: The Least Common Multiple (LCM) of 6, 9, and 12 is 36
- Ratio and Proportion: 2/4 : A = 12:48, then A = 8
- Metric Units: 4 dm 3 cm 5 mm - 1 dm 4 cm 6 mm = 2 dm 8 cm 9 mm
Figures
- Area of a Rectangle: Area of rectangle = length x width, where length = 6cm and width = 4cm, Area = 24 cm²
- Diameter of a Cylinder: To find The diameter of a cylinder, we need to rearrange the formula for the volume of a cylinder: V = πr²h, where V = 61.6 cm³, π = 22/7. Using the formula, we find the radius (r) is 1.4 cm, and the diameter is 2.8 cm.
- Shaded Area: The shaded area is the area of the square minus the area of the circle. The area of the square is side² = 14² = 196 cm². The area of the circle is πr² = (22/7) x 7² = 154 cm². Therefore, the shaded area is 196 - 154 = 42 cm²
- Perimeter of an Isosceles Triangle: The perimeter of triangle PQR = PQ + QR + RP = 8cm + 8cm + 6 cm = 22 cm
- Finding the value of x in a figure: x = 180° - 134° = 46°
- Area of a Triangle: Area of triangle = 1/2 x base x height, where area = 66 cm², base = 12 cm. Therefore, the height = 11 cm and x = 11 cm.
- Area of a Football Ground: The total area of the football ground is the area of the rectangle plus the area of the semi-circle. The area of the rectangle = length x width = 100 m x 70 m = 7,000 m². The area of the semi-circle = (1/2)πr² = (1/2)(22/7)(35)² = 1,925 m². Therefore, the total area = 7,000 + 1,925 = 8,925 m²
- Area of Trapezium: The area of trapezium = 1/2 x (sum of parallel sides) x height = 1/2 (10 + 15) x 10 = 125 cm²
- Average Attendance: The total attendance over the five days = 180 + 150 + 160 + 170 + 140 = 800. The average attendance per day = 800/5 = 160.
- Surface Area of Rectangular Prism: The surface area of the rectangular prism = 2(lw + wh + lh)-wl = 2(4x3 + 3x2 + 4x2) - 4x3 = 44 cm²
- Reading Data from Pie Chart: The pie chart shows that onions make up 55% of the total harvest. Therefore, the number of kilograms of onions harvested = 55/100 x 4,500 = 2,475 kilograms.
- Finding x in a Figure: x = 360° - (110° + 110° + 50°) = 90
- Area of a Parallelogram: Area of parallelogram = base x height = 8 cm x 3 cm = 24 cm²
Word Problems
- Calculating total milk production: Zebedayo gets 7 cows x 5 liters/cow/day = 35 liters/day. So, in a week she gets 35 liters/day x 7 days/week = 245 liters/week.
- Calculating total money: Perima has a total of (2 x 10,000) + (3 x 5,000) + (4 x 2,000) + (5 x 1,000) + (10 x 500) + (5 x 200) + (4 x 100) = 58,400 shillings.
- Calculating deposit amount: Musa deposited 2,500 shillings / 5% = 50,000 shillings.
- Calculating percentage: Kazaroho scored 45/50 x 100% = 90% in the examination.
- Finding fraction of male teachers: There are 28 - 18 = 10 male teachers. The fraction of male teachers is 10/28 = 5/14.
- Calculating area: The meeting room has an area of 12 m x 5.5 m = 66 m². The remaining area is 66 m² - 2.5 m² = 63.5 m².
- Calculating shared amount: Juma received 3/5 x 125,000 shillings = 75,000 shillings.
- Calculating time: The time taken to cover the distance is 20 km / 80 km/hour = 0.25 hours.
- Calculating discount: The book will be purchased at 7,500 shillings x 10% = 750 shillings discount. The final price is 7,500 shillings - 750 shillings = 6,750 shillings.
- Calculating salary increase: Kambona's salary increased by 456,500 shillings x 26% = 118,690 shillings. His new salary is 456,500 shillings + 118,690 shillings = 575,190 shillings
- Calculating total sugar sold: The total sugar sold in three months is 1,500 kg + 2,500 kg + 1,250 kg = 5,250 kilograms. This equals 5,250 kg/1,000 kg/ton = 5.25 tons.
- Calculating average weight: The fruits sold at Mikunda market weigh a total of 2+1.5+0.5+2.5 = 7 tons. The average weight of fruits sold per day is 7 tons/4 days = 1.75 tons. This is equivalent to 1.75 tons * 1,000 kilograms/ton = 1,750 kilograms.
Mathematical Operations
- 225 + 59 + 3,772 = 4,056
- 80,709 - 5,987 = 74,722
- 170.2 ÷ 74 = 2.30
- 94 × 765 = 71,910
- 3/5 + 1/3 = 14/15
- 2/5 - 2/3 = -4/15
- -14 × (-19 + 16) = 42
- (+17) + (-35) = -18
- 16/2 ÷ 6/3 = 4
- 7,590 ÷ 15 = 506
- 30.24 ÷ 12 = 2.52
- 19.62 + 6.35 + 21.1 = 47.07
- If m = -7 and n = -5, then (m + n) / (n - m) = 1
- 12 - (-24) + (-9) × 4 = 0
- The product of the prime numbers between 1 and 10 is 210
- The Greatest Common Factor (G.C.F) of 12, 24 and 36 is 12.
- 4% can be written as 4/100 or 1/25
- 3(m - n) + 5n - 7m = -4m + 2n
- If 7 + y = 5, then y = -2
- 1/3 ÷ 41/3 = 1/41
- CMXCIX in Roman numerals is 999
- The missing number in the sequence 1, 4, ___, 16, 25 is 9
- The Lowest Common Multiple (L.C.M) of 6, 9 and 12 is 36
- If 2/4 : A = 12:48, then A = 4
- 4 dm 3 cm 5 mm - 1 dm 4 cm 6 mm = 2 dm 8 cm 9 mm
Figures
- The area of a rectangle is calculated by multiplying its length and width.
- The diameter of a cylinder is calculated by using the formula: Volume = πr²h, where V is the volume, r is the radius and h is the height of the cylinder. With that being said, the diameter of a cylinder with a volume of 61.6cm³ is 2.8 cm.
- The shaded area of a square with a circle inside is calculated by subtracting the area of the circle from the area of the square.
- The perimeter of an isosceles triangle is calculated by adding the lengths of all its sides.
- In a triangle, the sum of all interior angles is 180°.
- The area of a triangle is calculated by multiplying half the base by its height.
- The area of a football ground is calculated by adding the areas of two semi-circles and the area of a rectangle.
- The area of a trapezium is calculated by multiplying the sum of its parallel sides with the height, then dividing the answer by 2.
- The average of a set of numbers is calculated by adding all the numbers in the set and then dividing the sum by the total number of numbers in the set.
- The surface area of a rectangular prism is calculated by adding the areas of all of its faces.
- To find the number of kilograms for onions harvested, we can multiply the percentage of onions harvested by the total number of kilograms of vegetables harvested.
- The area of a parallelogram is calculated by multiplying its base by its height.
Word Problems
- Zebedayo gets 245 liters of milk per week.
- Perima has a total of 58,400 shillings.
- Musa deposited 50,000 shillings in the bank.
- Kazaroho got 90% in the Kiswahili examination.
- The fraction of male teachers in Mapinduzi Primary School is 5/14.
- The remaining area of the meeting room is 63.5 m² after allocating space for documents.
- Juma got 75,000 shillings.
- It takes Maganga's car 0.25 hours to cover the journey.
- The book will be purchased at 6,750 shillings.
- Kambona's new salary will be 574,090 shillings.
- A total of 5.25 tons of sugar were sold in three months.
- The average of kilograms of fruits sold per day is 1,500 kg.
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This quiz covers key aspects of local government structure, including the roles of councils, bylaw creation, and principles of good governance. It also touches on the importance of citizen participation in elections and highlights women's rights organizations in Tanzania. Test your knowledge on these crucial topics!