Module 1 · Practice

Practice questions

Three difficulty levels. Have a proper go before checking the answers.

Section A — Easy

Warm-up

Put these in order, smallest first: −3, 5, −7, 0, 2, −1

Fill in < or > :

(a) −4 □ −9 (b) −2 □ 1 (c) 0 □ −5

What temperature is 6°C colder than −2°C?

Calculate:

(a) −5 + 8 (b) 4 − 9 (c) −6 + (−3) (d) 7 − (−2)

Calculate:

(a) −10 + 4 (b) −3 − (−7) (c) 2 + (−8) (d) −5 − 5

Calculate:

(a) −4 × 5 (b) −6 × −3 (c) 24 ÷ −4 (d) −15 ÷ −5

Calculate:

(a) −2 × −2 × −2 (b) (−5)²

Write the next three terms: 5, 9, 13, 17, ___, ___, ___

Find the common difference: 20, 17, 14, 11...

Typical Year 8 standard

Work out: (−3) + (−5) − (−2) − 4

The temperature in Moscow is −15°C. In London it is 8°C. What is the difference in temperature?

Calculate: −24 ÷ (−6) × (−2)

Find the nth term of the sequence: 7, 11, 15, 19...

Find the nth term of the sequence: 30, 27, 24, 21...

The nth term of a sequence is 5n − 2. Write down the first four terms.

The nth term is 3n + 4. Is 100 a term in the sequence? Show your reasoning.

Identify the type of sequence and give the next two terms:

(a) 2, 4, 8, 16, ___, ___ (b) 1, 4, 9, 16, ___, ___ (c) 1, 1, 2, 3, 5, ___, ___

Challenge / problem-solving

A submarine is at −180m. It rises 45m, then dives 70m. What depth is it at now?

Work out: (−2)³ + (−3)² − (−4) × (−5)

The nth term of a sequence is 2n² + 1. Find the 5th term.

Two sequences have nth terms 4n + 3 and 6n − 5. Which term number gives the same value in both sequences?

The 3rd term of an arithmetic sequence is 11 and the 7th term is 27. Find:

(a) the common difference (b) the first term (c) the nth term

A bank account starts at £50. Each week, £8 is withdrawn. After how many weeks will the balance be −£30?