Printable · GCSE Higher · ages 14-16

Number worksheet — GCSE Higher

Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.

Non-calculator

VersionsA only A + B A + B + Csame questions, different order

AnswersQuestions only With answer key Key only

CalculatorMixed Non-calculator (Paper 1)Calculator (Papers 2 and 3)

New sheet

Number worksheet — GCSE Higher

Maths · GCSE Higher · Number · Non-calculator · 15 questions

MathsUKwww.geekhero.co.uk

1.Simplify x⁶ ÷ x²
(a)x¹²
(b)x³
(c)x⁸
(d)x⁴
2.Write 200 as a product of its prime factors, using index notation.
(a)2 × 5³
(b)2³ × 5
(c)2² × 5³
(d)2³ × 5²
3.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.
(a)27
(b)12
(c)9
(d)24
4.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.
(a)800 m²
(b)70 m²
(c)1,000 m²
(d)140 m²
5.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
(a)1/3
(b)−1/6
(c)1/4
(d)7/6
6.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
(a)−0.6, −0.15, −0.09, 0.45, 0.5
(b)0.5, 0.45, −0.6, −0.15, −0.09
(c)0.5, 0.45, −0.09, −0.15, −0.6
(d)0.5, 0.45, −0.15, −0.09, −0.6
7.Work out the value of 2⁻²
(a)4
(b)−4
(c)1/4
(d)−1/4
8.A choir has sopranos, altos and tenors in the ratio 6 : 4 : 5. What fraction of the choir is not tenors?
(a)2/3
(b)4/9
(c)2/5
(d)1/3
9.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.
(a)18
(b)30
(c)90
(d)14
10.Write 0.35 as a fraction in its lowest terms.
(a)7/25
(b)35/10
(c)3/10
(d)7/20
11.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.
(a)8
(b)12
(c)6
(d)2
12.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.
(a)22 mm
(b)242 mm
(c)60.5 mm
(d)11 mm
13.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
(a)14
(b)12
(c)140
(d)1
14.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.
(a)£27.00
(b)£15.00
(c)£9.00
(d)£33.00
15.Work out −(−3)⁴ + (−3)³
(a)−108
(b)54
(c)−54
(d)108

Build your own mix at the worksheet builder.