🏹 • Module 2 : Powers, Operations, and Data

Question 1

What is 3²?

Answer 1

3² = 3 x 3 =9

Question 2

What are the first five square numbers?

Answer 2

1, 4, 9, 16, 25

Question 3

What is 4³?

Answer 3

4³ = 4 x 4 x 4=64

Question 4

What is the product rule for indices?

Answer 4

aᵐ x aⁿ = aᵐ+ⁿ

Example : 2³ x 2² = 2³⁺²= 2⁵ = 32

Question 5

What is the reciprocal of 2³?

Answer 5

The reciprocal is 2⁻³ = 1/2³ = 1/8

Question 6

What is BODMAS?

Answer 6

The order of operations :

Brackets
Order (powers and roots)
Division
Multiplication
Addition
Subtraction

Question 7

Round 47 to the nearest 10…

Answer 7

50

Question 8

Round 3.146 to 2 dp…

Answer 8

3.15
Dp : decimal places.

Question 9

Expand 3(𝑥+4)

Answer 9

3𝑥+12

(Multiply 3x𝑥, then 3x4)

Question 10

Simplify 2(𝑥+5) + 3(𝑥-2).

Answer 10

2𝑥+10+3𝑥-6
= 5𝑥+4

Question 11

Factorize 6𝑥+9.

Answer 11

3(2𝑥+3)

Question 12

What does 𝑦⁴ mean in index notation?

Answer 12

Multiply 𝑦 by itself 4 times : 𝑦 x 𝑦 x 𝑦 x 𝑦.

Question 13

What is 2⁻³? (Negative indices)

Answer 13

2⁻³ = 1/2³ = 1/8

Question 14

What does 8 ⅓ mean?

Answer 14

The cube root of 8: 8 ⅓ = 2.

Question 15

What is the value of π (pi) approximately?

Answer 15

π ≈ 3.142

Question 16

How can you calculate π using a circle?

Answer 16

Divide the circumference by the diameter :
π = C/D

Question 17

What does a time series chart show?

Answer 17

How data changes over time, often with a line graph.

Question 18

What is the quotient rule for indices?

Answer 18

aᵐ ÷ aⁿ = aᵐ⁻ⁿ

Example : 5⁴ ÷ 5² = 5⁴⁻² = 5² = 25.

Question 19

Round 0.004567 to 2 sf.

Answer 19

0.0046.
Sf = Significant figures

Question 20

What is the reciprocal of 5?

Answer 20

⅕

Question 21

Estimate the sum of 47 and 53 by rounding to the nearest 10.

Answer 21

50 + 50 = 100.

Question 22

How do you draw a triangle with angles 30°, 60°, and 90°?

Answer 22

Draw the base, use a protractor to mark 30° and 60°, then connect to form the triangle.

Question 23

What axis typically represents time in a time series graph?

Answer 23

the horizontal (x) axis.

Question 24

What is √49?

Answer 24

√ : square root of…
(7 x 7 =49)

Question 25

What is 3³ and ³√27?

Answer 25

3³ = 27,
³√27 = 3.

Question 26

Express 5 x 5 x 5 x 5 using indices.

Answer 26

5⁴

Question 27

Round 762 to the nearest 100.

Answer 27

800.

Question 28

How do you calculate the angle for each sector of a pie chart?

Answer 28

Multiply the fraction of the category by 360°.

Example : If 25% of data is in a category: 0.25 x 360° = 90°.

Question 29

What is the correct order to solve 4 + 2³ x 3?

Answer 29

Using BODMAS,
First, evaluate the power: 2³ = 8, then multiply: 8 x 3 =24 24, and finally, add: 4+24=28.

Question 30

What is the formula to calculate the circumference of a circle?

Answer 30

C = 2πr,
where r is the radius of the circle.