Podcast
Questions and Answers
What is the result of expanding $3(x - 4)$?
What is the result of expanding $3(x - 4)$?
The factorization of $y^3 - 4y$ is $y(y^2 - 4)$.
The factorization of $y^3 - 4y$ is $y(y^2 - 4)$.
True
How many cups can Lauren make with 3 litres of fruit juice, if each cup contains 225 millilitres?
How many cups can Lauren make with 3 litres of fruit juice, if each cup contains 225 millilitres?
13
The area of the floor of a room is 12 m2, which is equal to __________ cm2.
The area of the floor of a room is 12 m2, which is equal to __________ cm2.
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Match the following conversions with their correct values:
Match the following conversions with their correct values:
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What is the simplified form of $7m + 6n - 2m - 9n$?
What is the simplified form of $7m + 6n - 2m - 9n$?
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The simplified form of $q^5 + q^5 + q^5$ is $3q^{10}$.
The simplified form of $q^5 + q^5 + q^5$ is $3q^{10}$.
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What is the factorization of $t^2 - 10t$?
What is the factorization of $t^2 - 10t$?
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What is the simplified form of $g^6 \times g^4$?
What is the simplified form of $g^6 \times g^4$?
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The expression $k^4 \div k^2$ simplifies to $k^2$.
The expression $k^4 \div k^2$ simplifies to $k^2$.
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What is the simplified form of $5m + 2m - m$?
What is the simplified form of $5m + 2m - m$?
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The area of a rectangle is calculated as length times ______.
The area of a rectangle is calculated as length times ______.
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Match the geometric shape with its area formula:
Match the geometric shape with its area formula:
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What is the cube root of 64?
What is the cube root of 64?
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Calculate the value of $2^3 \times 4^5$.
Calculate the value of $2^3 \times 4^5$.
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The area of trapezium is given by the formula: Area = 0.5 × (Base1 + Base2) × Height.
The area of trapezium is given by the formula: Area = 0.5 × (Base1 + Base2) × Height.
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The expression $8d \times 7d$ simplifies to $______d^2$.
The expression $8d \times 7d$ simplifies to $______d^2$.
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What is the highest common factor (HCF) of 3780 and 3240?
What is the highest common factor (HCF) of 3780 and 3240?
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The lowest common multiple (LCM) of 15 and 70 is 210.
The lowest common multiple (LCM) of 15 and 70 is 210.
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List all the factors of 9.
List all the factors of 9.
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The total volume of the cuboid is ______ cm³.
The total volume of the cuboid is ______ cm³.
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What is the mean number of matches counted by Becky if she counted 50 boxes with a total of 300 matches?
What is the mean number of matches counted by Becky if she counted 50 boxes with a total of 300 matches?
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If 16 buses went past the school, how many bicycles went past assuming the ratio of buses to bicycles is 1:4?
If 16 buses went past the school, how many bicycles went past assuming the ratio of buses to bicycles is 1:4?
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For a sample of 40 people who caught fish, if the total number of fish caught was 140, what is the mean number of fish caught per person?
For a sample of 40 people who caught fish, if the total number of fish caught was 140, what is the mean number of fish caught per person?
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Match the following types of vehicles with the number that went past the school:
Match the following types of vehicles with the number that went past the school:
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Study Notes
Q1
- Simplify g x g4 = g5
- Simplify k10 ÷ k3 = k7
- Simplify (3cd4)2 = 32c2d8 = 9cd8
Q2
- Simplify 4m + 2m – m = 5m
- Simplify 5p × 7 = 35p
Q3
- Simplify 6e × 2f = 12ef
- Simplify 5m + 7k – 2m + k = 3m + 8k
- Simplify wxwxwxwxw = w5
Q4
- The area of a trapezium is ½(a + b)h. In this case ½(6 + 13) × 3 = 28.5 m2
Q5
- The area of the rectangle is 9 x 4 = 36 cm2
- The area of the triangle is ½ x 5 x 4 = 10 cm2
- The total area of shape ABCD = 36 + 10 = 46 cm2
Q6
- The area of the polygon (ABCDEFGH) is 434
- Area of the rectangle (AFGH) = 28 × 12 = 336 cm2
- Area of ABCDE = 434 - 336 = 98 cm2
- Height of the trapezium (CD and HG) is 20 – 12 = 8 cm
- (18 + CD) × 8 ÷ 2 = 98, which means 18 + CD = 24.5 so CD = 6.5 cm
Q7
- The area of the trapezium is ½(a + b)h = ½(13.5 + 17) × 10.4 = 158.6 cm2
Q8
- The cube root of 64 is 4
- 23 x 45 = 8 x 1024 = 8192
- 800= 23 x 52
Q9
- 8d × 7d = 56d2
- Expand 3(x - 4) = 3x – 12
- Factorise y3 – 4y = y(y2 - 4) = y(y - 2)(y + 2)
Q10
- Simplify 8e + 2f – 11e + 3f = –3e + 5f
- Expand 2y(3y – 7) = 6y2 – 14y
Q11
- Simplify a × 5 × b × c = 5abc
- Simplify q5 + q5 + q5 = 3q5
- Simplify 7m + 6n – 2m – 9n = 5m – 3n
- Factorise t2 – 10t = t(t – 10)
Q12
- Simplify b x 3 x e = 3be
- Simplify p3 + p3 + p3 + p3 = 4p3
- Simplify 6g – 4h + 2g – 3h = 8g – 7h
- Factorise 5a – 3a2 = a(5 – 3a)
- Expand 2(4 – 3w) = 8 - 6w
- Expand y2(y + 10) = y3 + 10y2
Q13
- Change 12 m2 to cm2 =120000 cm2
Q14
- Change 6 m to cm = 600 cm
- Change 4500 g to kg = 4.5 kg
- Work out the amount of fruit juice left: 3000 – 2925 = 75 ml
Q15
- highest common factor of 3780 and 3240 is 22 x 33 x 5 = 22 × 33 × 5 = 540
- least common multiple of 3780 and 3240 is 23 x 34 x 5 x 7 = 3240
Q16
- Factors of 9 = 1, 3, 9
- Lowest common multiple of 15 and 70 = 210
Q17
- Mean number of matches = 2371 / 50 = 47.42
Q18
- Mean number of fish caught = 84 / 40 = 2.1
Q19
- Mean mark of 20 students = 162 / 20 = 8.1
Q20
- Number of bicycles = 16 / 40 = 16/4 = 4
- Angle for lorries = 9 x 5 = 40°
Q21
- Value of x = 806/(15.5 x 8) = 6.5
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Description
Test your understanding of fundamental algebra concepts with this quiz. You'll encounter various questions including expansion, simplification, and factorization of expressions. Perfect for reinforcing your algebra skills and preparing for higher-level math.
