Test Preparation - Mental Maths and Indices

Mental Maths

100

76 + 58

134

200

142 − 67

75

300

8 − 2 × 5

-2

400

15 + (4 × 6) − 3 × 5

24

500

360 ÷ 9 + 8 × 4 − 12

60

Negative Numbers

100

5 − 11

-6

200

−9 − 4

-13

300

−3 − (−8)

5

400

−10 + 6 − (−2)

-2

500

−7 × (−5) − 8

 27

Index Form & Evaluation

100

5 × 5 × 5 in index form.

5³

200

4² × 3² in expanded form.

4 × 4 × 3 × 3

300

6² − 4²

20

400

(3³) ÷ 3

9

500

2³ + 4² × 3

56

Index Laws – Simplify (Do NOT evaluate)

100

Simplify 5⁴ × 5³

5⁷

200

9¹¹ ÷ 9⁴

9⁷

300

(4²)⁵

 4¹⁰

400

(3⁷ × 3²) ÷ 3⁵

3⁴

500

((8⁶ ÷ 8³) × 8⁴) ÷ 8²

 8⁵

Word Problems

100

A worker earns $26 per hour for 38 hours. How much do they earn?

 $988

200

Temperature rises from −14°C to 18°C. By how much did it increase?

32°C increase

300

A car travels 72 km per hour for 5 hours. Distance?

360 km

400

A factory packs 48 boxes into each crate.
They have packed 1,152 boxes in total.

1,152 ÷ 48 = 24
They used 24 crates.

500

A temperature starts at −18°C.
It rises 7°C every hour for 3 hours, then drops 12°C.

What is the final temperature?

−9°C