· Web viewMathematics Foundation 80 marks 1 hour 30 minutes Ch 1 Set A Paper 1: Non-Calculator Mathematics Foundation 80 marks 1 hour 30 minutes Ch 1 Set A Paper 1: Non-Calculator

Paper 1 – Non-calculator Paper

Test A

MaterialsFor this paper you must have:

mathematical instrumentsYou may not use a calculator.

Instructions Use black or blue ink or ball-point pen. Draw diagrams

in pencil. Answer all the questions. Do all rough work in on this paper. Cross through any

work that you do not want to be marked. In all calculations, show clearly how you work out your

answer.

Information The maximum 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. Keep an eye on the time. Try to answer every question. Check your answers if you have time at the end.

© Oxford University Press 2015Acknowledgements: www.oxfordsecondary.co.uk/acknowledgements

Ch 1 Set A Paper 1: Non-Calculator

1 hour 30 minutes 80 marks

MathematicsFoundation

Name ______________________________________ Class _________

______________________________________ Date ______________________

Question Mark123456789

1011121314151617181920212223242526272829303132

Total

http://www.oxfordsecondary.co.uk/acknowledgements


1 Circle the expression that simplifies to cd.

c ÷ d c + d d × c d ÷ c

[1 mark]

2 How many millilitres are there in 3.2 litres?

____________________[1 mark]

3 Circle the word that describes the shaded part of this circle.

sector radius segment chord

[1 mark]

4 Insert one of these signs >, < or = in each space to make a true statement.

a 0.2________0.02

b – 4 ________– 1

[1 mark]

[1 mark]




5

Write as a decimal.

____________________[1 mark]

6 PQRSTU is an irregular hexagon.

PQ = TS and QR = RS = TU = UP

a On the diagram, draw all the lines of symmetry of hexagon PQRSTU.

b What is the order of rotational symmetry of this hexagon?

____________________

[1 mark]

[1 mark]


QP

U

ST

R



7 What is the ratio 4 : 10 in the form 1 : n?

____________________

[1 mark]

8 Circle the number that is square, even and a multiple of 6.

16 36 25 30

[1 mark]

9 Bag A contains 3 blue, 2 green and 5 red balls.Bag B contains 5 blue, 5 green and 10 red balls.

Alice can choose to pick a ball at random from either bag A or bag B.Is she more likely to get a blue ball from bag A or bag B?Give a reason for your answer.

____________________________________________________________________

[3 marks]




____________________________________________________________________

1 List all the factors of 40.

____________________________________________________________________

[2 marks]

1 The length of a swimming pool is 50 metres.Jane swims 24 lengths of the pool.How far does she swim? Give your answer in kilometres.

____________________[2 marks]




1 In one hospital in May Exactly half of the 220 babies born were boys. 65 of the babies weighed 4 kg or more. 85 baby girls weighed less than 4 kg.

Complete the table to show this information.

Masses of babies born in May

[2 marks]

1 This triangle has angles x°, 2x° and 78°.

Work out the value of x.

[3 marks]


2x°78°

x°



____________________

1 Convert these areas to the units given.

a 300 mm2 to cm2

____________________

b 5 m2 to cm2

____________________

c 250 000 m2 to km2

____________________

d 0.3 m2 to mm2

[1 mark]

[1 mark]

[1 mark]

[1 mark]




____________________

1 The diagrams show the plan, front elevation and side elevation of an L-shaped prism.They are not drawn full-size.

The prism is made from 1 cm cubes.Work out the volume of the prism.

____________________[4 marks]

1 Write down the value of 25. [1 mark]


Plan

Front elevation

Side elevation



____________________

1 In a lemon cordial drink, water is mixed with lemon juice in the ratiowater : lemon juice = 4 : 1.

a What percentage of the cordial drink is lemon juice?

____________________

b How much lemon juice is mixed with 2 litres of water?

____________________

[2 marks]

[1 mark]

1 Jamie says that y = 3, x = 4, y = 2x – 1 are all straight lines but that y = 2x2 is not.Is Jamie right? Give a reason for your answer.

____________________________________________________________________

[1 mark]




____________________________________________________________________

____________________________________________________________________

1 Circle the scale factor of the enlargement that takes shape A to shape B.

2 3

[1 mark]

2 The diagram shows a right-angled isosceles triangle ABC.AC = BC = 7 cmAngle ACB = 90°

Show that AB is approximately 10 cm.

[3 marks]


A

CB

7 cm

7 cm



____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

2

The heights in centimetres of 30 plants were measured 6 weeks after planting.The results are shown in the table.

a Draw a grouped frequency diagram to represent this information.




b The heights in centimetres of 30 different plants were measured 6 weeks after planting. This grouped frequency diagram shows the results.

[3 marks]




Complete the table below for this grouped frequency diagram.

Height (cm) Frequency

5 ≤ h < 10

8

15 ≤ h < 20

20 ≤ h < 25

c Using the frequency diagrams from parts a and b, do you think these two samples are the same species of plant? Give a reason for your answer.

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

[2 marks]

[1 mark]

2 Complete these calculations.

a

[1 mark]

[1 mark]




b

2 Expand and simplify

2(2x + 4) + 4(3x + 2)

____________________

[1 mark]

2Ellie and Jaffar both worked out

316

+ 58

Ellie 316

+ 58=24+80

128=104

128

Jaffar 3

16+ 5

8= 3

16+ 10

16=13

16

Comment on their work.

[2 marks]




____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

2 Investigators test three coins for bias.They flip each coin several times and put their results in this table.List the coins in order of bias, with the least biased first, giving a reason for each.

____________________________________________________________________

____________________________________________________________________ [4 marks]

2 For a scatter graph with a line of best fit explain the meaning of these terms and comment on the reliability of each technique.a Interpolation.

____________________________________________________________________

[2 marks]


Coin Number of heads

Number of tails

A 16 24B 18 22C 80 120



____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

b Extrapolation.

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

[2 marks]




2 The nth term of a sequence is 4n – 3.a Is 75 a term of this sequence? Give a reason for your answer.

__________________because____________________________________________

____________________________________________________________________

b Write an expression for the (n + 1)th term of this sequence.

____________________

c Write an expression for the sum of the nth and (n + 1)th terms

____________________

d The sum of two consecutive numbers in the sequence is 326.Work out the smaller of these numbers.

[2 marks]

[1 mark]

[1 mark]

[2 marks]




____________________

2 Two triangles are shown on the grid.

a Write down the column vector for the translation that moves triangle P to triangle Q.

____________________

b Translate triangle Q using the vector (−4−7).

Label your new triangle R.

c Write down the vector for the single translation that moves triangle P to triangle R.

____________________

d Show the connection between the vectors in parts a and b and your answer to part c.

[1 mark]

[2 marks]

[1 mark]

[1 mark]




____________________________________________________________________

2 A formula for converting degrees Fahrenheit, F, into degrees Celsius, C, is

C=5(F−32)9

a Use this formula to convert 59 °F into °C.

____________________

b Rearrange the formula to make F the subject.

____________________

[2 marks]

[2 marks]

3 When two ordinary coins are spun the only possible outcomes are two heads, two tails or one head and one tail

a Explain why the probability of each outcome is not .

____________________________________________________________________

____________________________________________________________________

____________________________________________________________________

[2 marks]

[1 mark]




____________________________________________________________________

b What is the probability of getting two heads?

____________________

3 For this calculation

(3 × 106) × (2 × 103) = 6 × 10n

Sue says n = 9.Is she correct? Give a reason for your answer.

____________________ because_______________________________________________

__________________________________________________________________________

[2 marks]




3 The graph shows the height in metres, h, of a ball thrown into the air against time, t, seconds.

a What is the maximum height of the ball?

____________________

b For how long was the ball in the air?

____________________

[1 mark]

[1 mark]

Total for paper is 80 marks



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· Web viewMathematics Foundation 80 marks 1 hour 30 minutes Ch 1 Set A Paper 1: Non-Calculator Mathematics Foundation 80 marks 1 hour 30 minutes Ch 1 Set A Paper 1: Non-Calculator