Number worksheet — GCSE Foundation

1.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

2.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

3.Given that 2⁵ = 32, work out 2⁶.

4.Work out how many factors 100 has.

5.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.

6.Write 0.35 as a fraction in its lowest terms.

7.Write down a prime number between 30 and 40.

8.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

9.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

10.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.

11.A train leaves Leeds at 14:35. The journey takes 1 hour 50 minutes. Work out the time the train arrives. Give your answer using the 24-hour clock.

12.Write down the symbol that makes this statement true: 6/11 ___ 4/11

13.A bag holds 5 different sweets. Noah takes 2 of the sweets out of the bag together, so the order in which he takes them does not matter. Work out how many different pairs of sweets he could take.

14.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

15.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20