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Centre Number Candidate Number
Write your name hereSurname Other names
Edexcel GCSE
AET Non Calculator Top of the Pops Questions
Higher Tier
You must have: Ruler graduated in centimetres and millimetres, protractor, pair of compasses, pen, HB pencil, eraser, calculator. Tracing paper may be used.
Guidance:
This is not the normal format of a test paper.
The questions have been selected to represent the topics that have attracted the most marks on the non calculator paper over time.
They are ordered according to our top of the pops analysis and not by level of difficulty so do not be put off if you meet a hard question early in the paper. There will be easier ones to follow.
The question number will give you a very rough indication of difficulty level.
We cannot guarantee any of these questions will appear in your forthcoming exam.
13
*P40669A01324* Turn over
9
ABCDEFGH is a regular octagon. PAE is a straight line.
Angle PAB = y°
Work out the value of y
y = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 9 is 4 marks)
Ay°
P
H
G
F E
D
C
BDiagram NOT accurately drawnDiagram NOT accurately drawn
8
*P43409A0816*
*7
ABC is a straight line. DEFG is a straight line. AC is parallel to DG. EF = BF. Angle BEF = 50°.
Work out the size of the angle marked x. Give reasons for your answer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .°
(Total for Question 7 is 4 marks)
Diagram NOT accurately drawn
D50
A B Cx
GE F
16
*P40667A01620*
14 Mrs Angus’s class did a maths test.
The cumulative frequency graph shows information about their marks.
(a) Use the cumulative frequency graph to find
(i) the median,
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) the interquartile range.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
20
15
10
5
00 20 40 60 80 100
Cumulative frequency
Mark
17
*P40667A01720* Turn over
Mr Wilson’s class did the same maths test.
The box plot shows information about their marks.
*(b) Compare the interquartile range of the marks of Mr Wilson’s class with the interquartile range of the marks of Mrs Angus’s class.
(2)
(Total for Question 14 is 5 marks)
0 20 40 60 80 100Mark
4
*P44791A0416*
2 On the grid, draw the graph of y = 3 – 2x for values of x
(Total for Question 2 is 3 marks)
x
y
8
6
4
2
1 2 3O
–2
–4
–2 –1
15
*P40643A01520* Turn over
15
ABCD is a parallelogram. The diagonals of the parallelogram intersect at O.
OA�
= a and OB��
= b
(a) Write an expression, in terms of a and/or b, for
(i) CA�
,
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) BA�
,
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(iii) BC�
.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
X is the point such that OX�
= 2a – b
(b) (i) Find an expression, in terms of a and b, for AX�
.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(ii) B, A and X lie on the same straight line.
Explain why.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 15 is 6 marks)
Diagram NOT accurately drawn
B
ab
O
DC
A
14
*P44017A01420*
13 Event A and event B are independent events.
The probability that event A will happen is 0.3 The probability that event B will happen is 0.6
(a) Complete the probability tree diagram.
(2)
(b) Work out the probability that either event A will happen or event B will happen but not both.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 13 is 4 marks)
will happen
will not happen... . . . . . . . . . . . . . . . . .
0.6
will happen
will not happen... . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . .
will happen
will not happen... . . . . . . . . . . . . . . . . .
0.3
Event A Event B
20
*P40667A02020*
16 There are ten pens in a box.
4 of the pens are red. 6 of the pens are black.
Josh takes at random a pen from the box. He puts the pen into his bag. He then takes at random another pen from the box.
Work out the probability that Josh takes one pen of each colour.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 16 is 4 marks)
TOTAL FOR PAPER IS 60 MARKS
10
*P40669A01024*
6 The diagram shows a wall in Neil’s house.
Neil is going to cover the wall completely with tiles. Each tile has a width of 30 cm and a height of 40 cm.
The tiles are sold in packs. There are 6 tiles in each pack. Each pack costs £15
Work out the least amount of money Neil needs to pay for the tiles. You must show all your working.
£ .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 6 is 4 marks)
3 m
30 cm
2.4 m40 cm
walltile
2 m door
0.9 m
Diagrams NOT accurately drawn
5
*P43996A0516* Turn over
5 Here are the ingredients needed to make 16 chocolate biscuits.
Chocolate biscuits
Makes 16 chocolate biscuits
100 g of butter 50 g of caster sugar120 g of flour 15 g of cocoa
Sabrina has 250 g of butter 300 g of caster sugar 600 g of flour and 60 g of cocoa
Work out the greatest number of chocolate biscuits Sabrina can make. You must show your working.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 3 marks)
12
*P40667A01220*
9 Nathan is doing a survey about DVDs. He writes a questionnaire.
Nathan decides to hand out his questionnaire to the women who are inside a DVD store.
His sample is biased.
(a) Give two possible reasons why.
1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
This is one of the questions on Nathan’s questionnaire.
How many DVDs do you have?
0 to 5 5 to 10 11 to 15 16 to 20
(b) Write down two things wrong with this question.
1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 9 is 4 marks)
7
*P44591A0716* Turn over
5 Caroline is making some table decorations. Each decoration is made from a candle and a holder.
Caroline buys some candles and some holders each in packs.
There are 30 candles in a pack of candles. There are 18 holders in a pack of holders.
Caroline buys exactly the same number of candles and holders.
(i) How many packs of candles and how many packs of holders does Caroline buy?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . packs of candles
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . packs of holders
Caroline uses all her candles and all her holders.
(ii) How many table decorations does Caroline make?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . table decorations
(Total for Question 5 is 5 marks)
candle and holder
12
*P42053A01216*
11 The diagram represents a shed.
The shed is in the shape of a prism. The cross section of the prism is a hexagon. The hexagon has one line of symmetry. The walls of the shed are vertical.
Calculate the volume of the shed.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . m3
(Total for Question 11 is 4 marks)
Diagram NOT accurately drawn
4 m
���!
30 m
8 m
6 m
14
*P43614A01420*
14
Triangle A is reflected in the x-axis to give triangle B. Triangle B is then reflected in the line x = 1 to give triangle C.
Describe fully the single transformation that maps triangle A onto triangle C.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 14 is 3 marks)
–1 O 1 2 3 4 5 6
7
6
5
4
3
2
1
–1
–2
–3
–4
–5
–6
–7
y
x–2–3–4–5–6 7–7
A
14
*P40669A01424*
10 (a) Write 125 000 in standard form.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Write 8 × 10�� as an ordinary number.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(Total for Question 10 is 2 marks)
4
*P40667A0420*
2 Here is a four-sided spinner. The sides of the spinner are labelled A, B, C and D.
The table shows the probability that the spinner will land on A or on B or on D.
Letter A B C D
Probability 0.12 0.39 0.18
Amber spins the spinner once.
(a) Work out the probability that the spinner will land on C.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
Lucy is going to spin the spinner 50 times.
(b) Work out an estimate for the number of times the spinner will land on A.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 2 is 4 marks)
A
CD B
5
*P40641A0516* Turn over
5 A TV costs £400 Peter pays a deposit of 15%.
How much does Peter still have to pay for the TV?
£ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 5 is 3 marks)
6 (a) Factorise 10a + 5
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Expand and simplify 5(x + 7) + 3(x – 2)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Factorise completely 3a2b + 6ab2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 6 is 5 marks)
£400
15
*P43996A01516*
17 (a) Write down the value of 10–1
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Find the value of 2723
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Write 75 in the form k 3 , where k is an integer.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 17 is 5 marks)
18 Simplify fully 2 62 15
2
2x x
x x+
− −
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 18 is 3 marks)
TOTAL FOR PAPER IS 60 MARKS
12
*P43409A01216*
13 Harry travels from Appleton to Brockley at an average speed of 50 mph. He then travels from Brockley to Cantham at an average speed of 70 mph.
Harry takes a total time of 5 hours to travel from Appleton to Cantham. The distance from Brockley to Cantham is 210 miles.
Calculate Harry’s average speed for the total distance travelled from Appleton to Cantham.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . mph
(Total for Question 13 is 4 marks)
16
*P40643A01620*
16 (a) Make t the subject of the formula
2(a + t) = 5t + 7
t = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(b) Solve the simultaneous equations
3x – 4y = 8
9x + 5y = –1.5
x = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
y = .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(3)
(Total for Question 16 is 6 marks)
3
*P40671A0324* Turn over
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1 3x + 5 > 16
x is an integer.
Find the smallest value of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 3 marks)
2 Brian is x years old. Peter is 4 years older than Brian. Amy is 2 years younger than Brian.
The total of their ages is 26 years.
Work out the value of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 2 is 4 marks)
14
*P40643A01420*
14 (a) Given that x is an integer such that –2 < x ��3 y is an integer such that –1 � y <�5 and y = x
write down the possible values of x.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(b) On the grid below, show by shading the region defined by the inequalities
y > 1 y < 2x – 2 y < 6 – x x > 0
Mark this region with the letter R.
(4)
(Total for Question 14 is 6 marks)
–1 O 1 2 3 4 5 6 7
7
6
5
4
3
2
1
–1
–2
–3
y
x
13
*P44792A01320* Turn over
14*
A, B and C are points on the circumference of a circle. The straight line PAQ is a tangent to the circle. Angle PAC = 56 Angle ACB = 75
Work out the size of the angle marked x. Give reasons for each stage of your working.
(Total for Question 14 is 3 marks)
Diagram NOT accurately drawn
P
Q
A
x56
75
B
C
17
*P40643A01720* Turn over
17 Ali has two solid cones made from the same type of metal.
80 cm 160 cm
A B
The two solid cones are mathematically similar. The base of cone A is a circle with diameter 80 cm. The base of cone B is a circle with diameter 160 cm.
Ali uses 80 m� of paint to paint cone A. Ali is going to paint cone B.
(a) Work out how much paint, in m�, he will need.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . m�(2)
The volume of cone A is 171 700 cm3.
(b) Work out the volume of cone B.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . cm3
(3)
(Total for Question 17 is 5 marks)
Diagram NOT accurately drawn
4
*P44788A0420*
2 Bill wants to compare the heights of pine trees growing in sandy soil with the heights of pine trees growing in clay soil.
The scatter diagram gives some information about the heights and the ages of some pine trees.
(a) Describe the relationship between the height of pine trees and the age of pine trees growing in sandy soil.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
A pine tree growing in clay soil is 18 years old.
(b) Find an estimate for the height of this tree.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m(1)
A pine tree is growing in sandy soil.
(c) Work out an estimate for how much the height of this tree increases in a year.
.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .m(2)
5 10 15 20 25 3000
10
20
30
40
50
60
Height in m
Age in years
Key: × sandy soil clay soil
3
*P43614A0320* Turn over
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1 The cost of 6 cups is £7.80 Work out the cost of 10 of these cups.
£…... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 1 is 2 marks)
2
On the grid, enlarge the shape with scale factor 3, centre A.
(Total for Question 2 is 3 marks)
A
8
*P44792A0820*
8 The diagram shows the plan of a park.
Scale: 1 cm represents 100 m
A fountain in the park is equidistant from A and from C. The fountain is exactly 700 m from D.
On the diagram, mark the position of the fountain with a cross (X).
(Total for Question 8 is 3 marks)
A
D
B
C
13
*P40641A01316* Turn over
16 Judy drives at an average speed of 80 km per hour for 2 hours 45 minutes.
Work out the number of miles Judy drives.
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . miles
(Total for Question 16 is 3 marks)
17 Find an equation of the straight line that is perpendicular to the straight line x + 2y = 5 and that passes through the point (3, 7).
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(Total for Question 17 is 4 marks)
3
*P44791A0316* Turn over
Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
You must NOT use a calculator.
1 (a) Work out
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(1)
(b) Work out £28
£ ... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(c) Estimate the value of 19.89 201.71
... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
(2)
(Total for Question 1 is 5 marks)
134
3 12
+
37
