Paper 1 & 3 style: Core (non-calculator) — question paper (print)

Paper 1 & 3 style

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IGCSE · Cambridge IGCSE Mathematics (Core)

Paper 1 & 3 style practice paper

Core (non-calculator)

Duration: 120 minutes

Total: 80 marks

Name:

Class:

Date:

READ THESE INSTRUCTIONS FIRST

Answer all questions.
Section A contains ten multiple-choice questions. Choose one answer, A, B, C or D, for each.
Section B contains structured questions. Write your answers in the spaces provided.
You may not use a calculator. Show all your working — marks are given for method.
The number of marks is given in brackets [ ] at the end of each question or part question.
The total mark for this paper is 80.

Original practice material written against the Cambridge IGCSE Mathematics syllabus. It is not an official Cambridge examination paper. Core content across the 0580 syllabus, non-calculator.

For Examiner’s Use
Section A	/ 10
Section B	/ 70
Total	/ 80

Section A: Multiple-choice questions[10 marks]

Choose one answer for each question. Every correct answer scores one mark.

1
Work out ⅜ + ¼.
1. A4⁄12
2. B⅓
3. C⅝
4. D⅔
( )
2
Write 0.35 as a fraction in its lowest terms.
1. A7⁄20
2. B35⁄100
3. C⅗
4. D7⁄10
( )
3
$40 is shared in the ratio 3 : 5. The larger share is
1. A$15
2. B$24
3. C$25
4. D$8
( )
4
Work out √49 + √16.
1. A9
2. B65
3. C15
4. D11
( )
5
Write the ratio 45 : 60 in its simplest form.
1. A9 : 12
2. B5 : 6
3. C4 : 3
4. D3 : 4
( )
6
The nth term of a sequence is 4n − 1. The 10th term is
1. A39
2. B41
3. C36
4. D40
( )
7
Two angles of a triangle are 65° and 48°. The third angle is
1. A113°
2. B77°
3. C103°
4. D67°
( )
8
A triangle has base 10 cm and perpendicular height 6 cm. Its area is
1. A30 cm²
2. B60 cm²
3. C16 cm²
4. D32 cm²
( )
9
A fair die is rolled once. P(an even number) is
1. A⅙
2. B⅓
3. C½
4. D⅔
( )
10
The mean of 2, 5, 7 and 10 is
1. A5.5
2. B6
3. C6.5
4. D24
( )

Section B: Structured questions[70 marks]

Answer all questions in the spaces provided. Show all your working.

11
Work out each of the following.
1. (a)
  ¾ of 220
  [1]
2. (b)
  1.2 × 0.3
  [1]
3. (c)
  Write 0.45 as a fraction in its lowest terms.
  [1]
4. (d)
  Write these in order of size, smallest first: 0.6, 66%, 3⁄5.
  [2]
12
Work out the following. Give each answer in its lowest terms.
1. (a)
  ⅔ + ⅙
  [2]
2. (b)
  ¾ ÷ ⅜
  [2]
13
Percentages.
1. (a)
  Increase $80 by 15%.
  [2]
2. (b)
  Write 24 out of 60 as a percentage.
  [2]
3. (c)
  Write ⅞ as a percentage.
  [1]
14
Ratio and proportion.
1. (a)
  Write the ratio 24 : 36 in its simplest form.
  [1]
2. (b)
  Share $120 between two people in the ratio 2 : 3.
  [2]
3. (c)
  A recipe uses 200 g of flour for 8 pancakes. How much flour is needed for 12 pancakes?
  [2]
15
Indices and standard form.
1. (a)
  Simplify 5³ × 5².
  [1]
2. (b)
  Write 45 000 in standard form.
  [2]
3. (c)
  Write 3.2 × 10⁻³ as an ordinary number.
  [2]
16
Algebra.
1. (a)
  Simplify 3a + 5a − 2a.
  [1]
2. (b)
  Factorise 5x + 20.
  [1]
3. (c)
  Solve 4x − 3 = 17.
  [2]
4. (d)
  Solve 2(x + 5) = 18.
  [1]
17
Equations and inequalities.
1. (a)
  Solve 3x + 5 = 20.
  [2]
2. (b)
  Solve the simultaneous equations x + y = 10 and x − y = 2.
  [3]
3. (c)
  Describe how the inequality x > 2 is shown on a number line.
  [1]
18
A sequence begins 5, 8, 11, 14, …
1. (a)
  Write down the next two terms.
  [1]
2. (b)
  Find an expression for the nth term.
  [2]
3. (c)
  Explain why 100 is not a term of the sequence.
  [2]
19
Graphs.
1. (a)
  For the line y = 2x + 3, write down the gradient and the y-intercept.
  [2]
2. (b)
  A car travels 60 km in 1½ hours at constant speed. Find its speed in km/h.
  [2]
3. (c)
  Does the point (2, 7) lie on the line y = 2x + 3? Show how you decide.
  [1]
20
Angle geometry.
1. (a)
  Two angles on a straight line: one is 118°. Find the other.
  [1]
2. (b)
  Find the exterior angle of a regular hexagon.
  [1]
3. (c)
  State the interior angle of a regular hexagon.
  [1]
4. (d)
  A ship sails on a bearing of 070° from port. State the bearing of the port from the ship.
  [2]
21
Transformations.
1. (a)
  Write down the image of (3, 2) after reflection in the x-axis.
  [1]
2. (b)
  Write down the image of (1, 2) after a 90° anticlockwise rotation about the origin.
  [2]
3. (c)
  An enlargement with scale factor 2, centre the origin, maps a triangle of area 5 cm². Write down the image coordinates of the vertex (3, 1) and the area of the image triangle.
  [2]
22
Mensuration.
1. (a)
  Find the perimeter of a rectangle 8 cm by 5 cm.
  [1]
2. (b)
  A circle has radius 7 cm. Using π = 22⁄7, find its area.
  [2]
3. (c)
  A cuboid measures 3 cm by 4 cm by 10 cm. Find its volume.
  [1]
4. (d)
  Write 2.5 m² in cm².
  [1]
23
Pythagoras and trigonometry.
1. (a)
  A right-angled triangle has legs of 6 cm and 8 cm. Find the hypotenuse.
  [2]
2. (b)
  In a right-angled triangle, the side opposite angle θ is 3 cm and the hypotenuse is 5 cm. Write sin θ as a fraction.
  [2]
3. (c)
  Given that sin θ = 0.6, estimate θ to the nearest degree.
  [1]
24
Probability and statistics.
1. (a)
  A bag holds 4 red, 5 blue and 3 green counters. One counter is drawn at random. Find P(red) and P(not blue).
  [2]
2. (b)
  A counter is drawn, replaced, and a second counter is drawn. Find P(both red).
  [2]
3. (c)
  The list 3, 7, 7, 8, 10, 13 has mean 8. Find its median.
  [1]

— End of paper —

Paper 1 & 3 style practice paper: Core (non-calculator) — question paper