Number worksheet — GCSE Higher

1.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

2.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

3.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?

4.Work out the value of √(16 + 9)

5.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

6.Work out how many factors 100 has.

7.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

8.Work out 3³ + 2⁴.

9.Which of these is written correctly in standard form?

10.Simplify (x⁻²)³, giving your answer as a fraction.

11.Find the missing number: 17 × ▢ = 391

12.Work out (−2)² − 3

13.Work out the exact value of √(2² + 3²)

14.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

15.Write 0.875 as a fraction in its simplest form.