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The cost of 3 stools and 5 desks is $360. The cost of 6 stools and 15 desks is $900. What is the cost of 1 desk? (Round off the answers to the nearest $10).
The cost of 3 stools and 5 desks is $360. The cost of 6 stools and 15 desks is $900. What is the cost of 1 desk? (Round off the answers to the nearest $10).
70
A roll of string is cut into three pieces in the ratio of 7 : 2 : 3. The shortest piece is 44 cm. What is the length of the longest piece of the string?
A roll of string is cut into three pieces in the ratio of 7 : 2 : 3. The shortest piece is 44 cm. What is the length of the longest piece of the string?
154
ABCD is a rhombus. ∠BAC = 52°. What is the sum of ∠x and ∠y?
ABCD is a rhombus. ∠BAC = 52°. What is the sum of ∠x and ∠y?
180
Mrs Tan bought a dress for $140. She paid the cashier in $10 and $5 notes. If there were fifteen dollar notes altogether, how many $10 notes were there?
Mrs Tan bought a dress for $140. She paid the cashier in $10 and $5 notes. If there were fifteen dollar notes altogether, how many $10 notes were there?
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A large tank contained 6l of water. The graph below shows the amount of water left in a tank at the end of each day. What is the total amount of water used on Day 2 and Day 4.
A large tank contained 6l of water. The graph below shows the amount of water left in a tank at the end of each day. What is the total amount of water used on Day 2 and Day 4.
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What percentage of the students are in Dance Club and Brownies?
What percentage of the students are in Dance Club and Brownies?
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The ratio of the number of students in Dance Club to the number of students in Brownies is 3 : 2. How many students are in Brownies?
The ratio of the number of students in Dance Club to the number of students in Brownies is 3 : 2. How many students are in Brownies?
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The figure below shows an empty container. All edges meet at right angles. When the tap is turned on, water flows into the container at rate of 2.01 litres per minute. How much time is needed to fill the container completely?
The figure below shows an empty container. All edges meet at right angles. When the tap is turned on, water flows into the container at rate of 2.01 litres per minute. How much time is needed to fill the container completely?
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The distance between Town C and Town D is 1680 km. Train X travels from Town C to Town D at 8.00 a.m. at an average speed of 230 km/h. At the same time, Train Y travels from D to Town C at an average speed of 190 km/h.
(a) What time did they meet?
The distance between Town C and Town D is 1680 km. Train X travels from Town C to Town D at 8.00 a.m. at an average speed of 230 km/h. At the same time, Train Y travels from D to Town C at an average speed of 190 km/h. (a) What time did they meet?
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The distance between Town C and Town D is 1680 km. Train X travels from Town C to Town D at 8.00 a.m. at an average speed of 230 km/h. At the same time, Train Y travels from D to Town C at an average speed of 190 km/h.
(b) How far would each train have travelled when they meet on the way?
The distance between Town C and Town D is 1680 km. Train X travels from Town C to Town D at 8.00 a.m. at an average speed of 230 km/h. At the same time, Train Y travels from D to Town C at an average speed of 190 km/h. (b) How far would each train have travelled when they meet on the way?
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There were 45 soccer balls, 30 basketballs and 68 netballs in the PE room. After 80 balls were added, the number of soccer balls increased by 40% and the number of netballs increased by 25%. What was the percentage increase in the number of basketballs?
There were 45 soccer balls, 30 basketballs and 68 netballs in the PE room. After 80 balls were added, the number of soccer balls increased by 40% and the number of netballs increased by 25%. What was the percentage increase in the number of basketballs?
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Both Tammy and Adam left their houses at the same time to go to the water theme park. Tammy travelled 20 km from her house to the park at an average speed of 30 km/h. Adam travelled from his house at an average speed of 42 km/h and reached the park 15 minutes later than Tammy. What was the distance between Adam's home and the park?
Both Tammy and Adam left their houses at the same time to go to the water theme park. Tammy travelled 20 km from her house to the park at an average speed of 30 km/h. Adam travelled from his house at an average speed of 42 km/h and reached the park 15 minutes later than Tammy. What was the distance between Adam's home and the park?
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The figure below is not drawn to scale. ABEF is a parallelogram and BCDE is a trapezium. BE // CD, AB // FD and BC // AD, DF is a straight line. ZADF = 42° and ∠DAF = 68°.
(a) Find ∠BCD.
The figure below is not drawn to scale. ABEF is a parallelogram and BCDE is a trapezium. BE // CD, AB // FD and BC // AD, DF is a straight line. ZADF = 42° and ∠DAF = 68°. (a) Find ∠BCD.
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There were a total of 2120 students in the school field at first. After 536 boys and 1/4 of the girls left, the ratio of the number of boys to the number of girls became 4 : 9. How many more girls than boys were there at the school field in the end?
There were a total of 2120 students in the school field at first. After 536 boys and 1/4 of the girls left, the ratio of the number of boys to the number of girls became 4 : 9. How many more girls than boys were there at the school field in the end?
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Bottles A, B and C contain 7.35 litres of paint altogether. 1/5 of the paint in Bottle A is transferred to Bottle B. After that, 1/5 of the paint in Bottle B is transferred to Bottle C. Now, Bottle A has twice the amount of paint in Bottle B and Bottle B has twice the amount of paint in Bottle C.
(a) How much paint was transferred from Bottle A to Bottle B?
Bottles A, B and C contain 7.35 litres of paint altogether. 1/5 of the paint in Bottle A is transferred to Bottle B. After that, 1/5 of the paint in Bottle B is transferred to Bottle C. Now, Bottle A has twice the amount of paint in Bottle B and Bottle B has twice the amount of paint in Bottle C. (a) How much paint was transferred from Bottle A to Bottle B?
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Bottles A, B and C contain 7.35 litres of paint altogether. 1/5 of the paint in Bottle A is transferred to Bottle B. After that, 1/5 of the paint in Bottle B is transferred to Bottle C. Now, Bottle A has twice the amount of paint in Bottle B and Bottle B has twice the amount of paint in Bottle C.
(b) How much pain was in Bottle C at first?
Bottles A, B and C contain 7.35 litres of paint altogether. 1/5 of the paint in Bottle A is transferred to Bottle B. After that, 1/5 of the paint in Bottle B is transferred to Bottle C. Now, Bottle A has twice the amount of paint in Bottle B and Bottle B has twice the amount of paint in Bottle C. (b) How much pain was in Bottle C at first?
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Gary is playing a mobile game on his phone. On his first win, he obtains 3 points. For every subsequent win, he will receive 2 additional points more than his previous win.
(a) Gary gets 6 wins in a row. What will be his score for the 6th win?
Gary is playing a mobile game on his phone. On his first win, he obtains 3 points. For every subsequent win, he will receive 2 additional points more than his previous win. (a) Gary gets 6 wins in a row. What will be his score for the 6th win?
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Gary is playing a mobile game on his phone. On his first win, he obtains 3 points. For every subsequent win, he will receive 2 additional points more than his previous win.
(b) How many times must he win the game in a row for him to achieve 98 points?
Gary is playing a mobile game on his phone. On his first win, he obtains 3 points. For every subsequent win, he will receive 2 additional points more than his previous win. (b) How many times must he win the game in a row for him to achieve 98 points?
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The figure below is made up a quadrant and a circle overlapping each other. The quadrant touches the circle at points F and G. The circle, with centre O, has a diameter of 24 cm. Find the area of the shaded part. (Take π = 3.14)
The figure below is made up a quadrant and a circle overlapping each other. The quadrant touches the circle at points F and G. The circle, with centre O, has a diameter of 24 cm. Find the area of the shaded part. (Take π = 3.14)
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Mr Chan received $6120 from selling some shoes and some shirts. He received $3240 more for the shoes than the shirts. 4 times as many shoes as shirts were sold. Each shirt cost $15 more than each shoe.
(a) How much did Mr Chan receive for the shoes?
Mr Chan received $6120 from selling some shoes and some shirts. He received $3240 more for the shoes than the shirts. 4 times as many shoes as shirts were sold. Each shirt cost $15 more than each shoe. (a) How much did Mr Chan receive for the shoes?
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Mr Chan received $6120 from selling some shoes and some shirts. He received $3240 more for the shoes than the shirts. 4 times as many shoes as shirts were sold. Each shirt cost $15 more than each shoe.
(b) How many shirts did Mr Chan sell?
Mr Chan received $6120 from selling some shoes and some shirts. He received $3240 more for the shoes than the shirts. 4 times as many shoes as shirts were sold. Each shirt cost $15 more than each shoe. (b) How many shirts did Mr Chan sell?
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Abu, Bob, Cheryl and Donna shared a sum of money equally at first. Abu gave 2/3 of his money to Bob.
(a) What fraction of the sum of money did Abu have in the end?
Abu, Bob, Cheryl and Donna shared a sum of money equally at first. Abu gave 2/3 of his money to Bob. (a) What fraction of the sum of money did Abu have in the end?
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Abu, Bob, Cheryl and Donna shared a sum of money equally at first. Abu gave 2/3 of his money to Bob.
(b) Bob then gave 1/5 of his money to Cheryl. Cheryl then gave 3/8 of her money and an additional $55 to Donna. Donna had $595 in the end. How much was the sum of money they shared?
Abu, Bob, Cheryl and Donna shared a sum of money equally at first. Abu gave 2/3 of his money to Bob. (b) Bob then gave 1/5 of his money to Cheryl. Cheryl then gave 3/8 of her money and an additional $55 to Donna. Donna had $595 in the end. How much was the sum of money they shared?
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Study Notes
Question 1
- The cost of 3 stools and 5 desks is $360
- The cost of 6 stools and 15 desks is $900
- Find the cost of 1 desk (rounded to the nearest $10)
Question 2
- A string is cut into three pieces in the ratio 7:2:3
- The shortest piece is 44 cm
- Find the length of the longest piece
Question 3
- ABCD is a rhombus
- ∠BAC = 52°
- Find the sum of 2x and y
Question 4
- Mrs Tan bought a dress for $140
- She paid with $10 and $5 notes
- There were 15 notes in total
- Find the number of $10 notes
Question 5
- A large tank initially contained 6 liters of water
- The graph shows the amount of water left each day
- Find the total amount of water used on Day 2 and Day 4
Question 6a
- The pie chart shows the CCAs of 300 students
- Find the percentage of students in Dance Club and Brownies
Question 6b
- The ratio of Dance Club students to Brownies is 3:2
- Find the number of students in Brownies
Question 7
- An empty container has dimensions of 85 cm, 42 cm, 24 cm, and 20 cm
- Water flows in at 2.01 litres/min
- Find the time needed to fill the container completely
Question 8a
- The distance between Town C and Town D is 1680 km
- Train X travels from C to D at 230 km/h
- Train Y travels from D to C at 190 km/h
- Both trains start at 8:00 a.m.
- Find the time they meet
Question 8b
- Find the distance each train traveled when they met
Question 9
- 45 soccer, 30 basketball, and 68 netballs
- 80 balls are added
- Soccer balls increased by 40%
- Netballs increased by 25%
- Find the percentage increase in basketballs
Question 10
- Tammy travels 20 km at 30 km/h
- Adam travels at 42 km/h, and arrives 15 minutes later than Tammy
- Find the distance between Adam's home and the park
Question 11a
- ABEF is a parallelogram
- BCDE is a trapezium
- BE // CD, AB // FD, BC // AD
- ∠ADF = 42°, ∠DAF = 68°
- Find ∠BCD
Question 11b
- Find ∠ABE
Question 11c
- Find ∠BEF
Question 12
- 2120 students initially
- 536 boys left, 1/4 of girls left
- Ratio of boys to girls became 4:9
- Find the difference in number of girls and boys
Question 13a
- Bottles A, B, and C contain 7.35 liters
- 1/5 of A's paint is transferred to B
- 1/5 of B's paint is transferred to C
- Bottle A has twice the amount of paint in B
- Bottle B has twice the amount of paint in C
- Find the amount transferred from A to B
Question 13b
- Find the initial amount of paint in Bottle C
Question 14a
- Gary scores 3 points on first win
- Subsequent wins add 2 more points than previous
- Gary wins 6 games in a row
- Find his score for the 6th win
Question 14b
- Find the number of wins to get 98 points
Question 15
- Quadrant and circle overlap
- Circle diameter = 24 cm
- π = 3.14
- Find the area of the shaded part
Question 16a
- Mr. Chan received $6120 from selling shoes and shirts
- $3240 more for shoes than shirts
- 4 times as many shoes as shirts
- Shirts cost $15 more than shoes
- Find the amount received for the shoes
Question 16b
- How many shirts did Mr. Chan sell?
Question 17a
- Abu, Bob, Cheryl, and Donna share money equally
- Abu gives 2/3 of his share to Bob
- Find the fraction of the total Abu has left
Question 17b
- Bob gives 1/5 to Cheryl
- Cheryl gives 3/8 to Donna and additional $55
- Donna received $595
- Find the starting total amount shared
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Description
Test your understanding of mathematics with this quiz designed for 10th class students. Covering topics from geometry to ratios and percentage calculations, this quiz will challenge your problem-solving skills. Ideal for exam preparation and practice.
