Cambridge International Examinations Cambridge Ordinary Level

[Pages:20]*7818629308*

Cambridge International Examinations Cambridge Ordinary Level

MATHEMATICS (SYLLABUS D) Paper 1

Candidates answer on the Question Paper. Additional Materials: Geometrical instruments

4024/12 October/November 2018

2 hours

READ THESE INSTRUCTIONS FIRST

Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES.

Answer all questions.

If working is needed for any question it must be shown in the space below that question. Omission of essential working will result in loss of marks.

ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER.

The number of marks is given in brackets [ ] at the end of each question or part question. The total of the marks for this paper is 80.

DC (SC/SW) 153140/3 ? UCLES 2018

This document consists of 20 printed pages.

[Turn over

2

ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER

1

(a)

Evaluate

1 8

+

2 5

.

(b) Evaluate 0.04 # 0.11 .

Answer .......................................... [1]

Answer .......................................... [1]

2 (a) 200 grams of a spice cost 85 cents. Find the cost, in dollars, of 1 kilogram of this spice.

(b) You are given that 60 : x = 3 : 2. Find x.

Answer $ ....................................... [1]

? UCLES 2018

Answer x = .................................... [1]

4024/12/O/N/18

3

3 y is inversely proportional to x.

Given

that

y

=

30

when

x

=

1 3

,

find

y

when

x

=

5.

Answer y = .................................... [2]

? UCLES 2018

4024/12/O/N/18

[Turn over

4

4 Arrange these fractions in order, starting with the smallest.

4

9

17

21

41

5

10

20

25

50

Show your working.

5 (a) Simplify 4c - 3^2c - 5h.

Answer ............. , ............. , ............. , ............. , ............. [2] smallest

(b) Factorise 8 - 10y + 12x - 15xy.

Answer .......................................... [1]

? UCLES 2018

Answer .......................................... [2]

4024/12/O/N/18

6 (a) Find f^-2h.

(b) Find f - 1^xh.

5

f^xh

=

2x + 3x

5

Answer .......................................... [1]

Answer f -1^xh = .......................... [3]

7 In a group of 35 people,

22 are wearing spectacles, 10 are wearing a hat, 6 are wearing spectacles and a hat.

By drawing a Venn diagram, or otherwise, find the number of people who are wearing neither spectacles nor a hat.

? UCLES 2018

Answer .......................................... [2]

4024/12/O/N/18

[Turn over

6 8 (a) The diagram shows part of a figure that has rotational symmetry of order 4 about the point O.

Complete the figure.

O

[1] (b) In the diagram, six small squares are shaded.

Shade one more small square to give a diagram that has exactly one line of symmetry.

[1]

? UCLES 2018

4024/12/O/N/18

7

9

p = 8 # 10-6

q = 2 # 1011

Evaluate the following, giving your answers in standard form.

(a) p # q

(b) p ' q

Answer .......................................... [1]

(c) 3 p

Answer .......................................... [1]

Answer .......................................... [1]

10 By writing each number correct to 2 significant figures, estimate the value of 1212.3 .

299.35 # 24.73

? UCLES 2018

Answer .......................................... [2]

4024/12/O/N/18

[Turn over

8

11 Here are the first five terms of a sequence. 3 7 11 15 19 4 8 12 16 20

(a) Write down the next two terms.

(b)

The kth term is

1199 1200

.

Find k.

Answer ................. , ................. [1]

(c) Find an expression, in terms of n, for the nth term.

Answer k = .................................... [1]

12 Each interior angle of a regular polygon is 175?. Find the number of sides in the polygon.

Answer .......................................... [2]

? UCLES 2018

Answer .......................................... [2]

4024/12/O/N/18

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download