Instructions
• Use black ink or ball-point pen.
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• Answer all questions.
• Answer the questions in the spaces provided
...
Instructions
• Use black ink or ball-point pen.
• Fill in the boxes at the top of this page with your name,
centre number and candidate number.
• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
• You must show all your working.
• Diagrams are NOT accurately drawn, unless otherwise indicated.
• Calculators may not be used.
Information
• The total mark for this paper is 80
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
Advice
• Read each question carefully before you start to answer it.
• Try to answer every question.
• Check your answers if you have time at the end.
• Good luck with your examination.
You must have: Ruler graduated in centimetres and millimetres,
protractor, pair of compasses, pen, HB pencil, eraser, Formulae
Sheet (enclosed). Tracing paper may be used.
*P66305A0224* 2
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all the stages in your working.
1 Solve 7x − 27 < 8
.......................................................
(Total for Question 1 is 2 marks)
2 Write 124 as a product of its prime factors.
.......................................................
(Total for Question 2 is 2 marks)
*P66305A0324* Turn over
3
3 A delivery company has a total of 160 cars and vans.
the number of cars : the number of vans = 3 : 7
Each car and each van uses electricity or diesel or petrol.
1
8 of the cars use electricity.
25% of the cars use diesel.
The rest of the cars use petrol.
Work out the number of cars that use petrol.
You must show all your working.
.......................................................
(Total for Question 3 is 5 marks)
*P66305A0424* 4
4 (a) Write 1.63 × 10−3 as an ordinary number.
.......................................................
(1)
(b) Write 438 000 in standard form.
.......................................................
(1)
(c) Work out (4 × 103
) × (6 × 10−5)
Give your answer in standard form.
.......................................................
(2)
(Total for Question 4 is 4 marks)
*P66305A0524* Turn over
5
5 Here is a regular hexagon and a regular pentagon.
x
Work out the size of the angle marked x.
You must show all your working.
.......................................................
°
(Total for Question 5 is 3 marks)
*P66305A0624* 6
6 (a) Complete the table of values for y = x2
− 3x + 1
x −1 0 1 2 3 4
y 1 −1
(2)
(b) On the grid, draw the graph of y = x2
− 3x + 1 for values of x from −1 to 4
−1 1 2 3 4
−2
−1
1
2
3
4
5
O x
y
6
(2)
(c) Using your graph, find estimates for the solutions of the equation x2
− 3x + 1 = 0
.......................................................
(2)
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