GCSE Maths practice

Simplify 3a + 5b − a + 2b.

Collect like terms: 3a − a = 2a and 5b + 2b = 7b.

Write 0.375 as a fraction in its simplest form.

0.375 = 375/1000, which simplifies to 3/8.

What is the highest common factor of 24 and 36?

12 is the largest number that divides both 24 and 36.

What do the interior angles of a hexagon add up to?

(n − 2) × 180° = 4 × 180° = 720°.

Write 45,000 in standard form.

Standard form has one non-zero digit before the decimal point.

Expand 2(x − 5).

Multiply both terms by 2.

Share £64 in the ratio 3 : 5. How much is the larger share?

8 parts make £64, so one part is £8, and 5 parts are £40.

What is the mean of 4, 7, 9 and 10?

(4 + 7 + 9 + 10) / 4 = 30 / 4 = 7.5.

A car travels 150 km in 2.5 hours. What is its average speed?

Speed = distance / time = 150 / 2.5 = 60.

What is the probability of NOT rolling a 6 on a fair dice?

P(not 6) = 1 − 1/6 = 5/6.