# Maths Paper 1

**Topics:**Dice, Rectangle, 3

**Pages:**28 (1473 words)

**Published:**October 2, 2013

Mathematics test

KEY STAGE

3

TIER

6–8

Paper 1

Calculator not allowed

First name

Last name

2009

School

Remember

The test is 1 hour long.

You must not use a calculator for any question in this test. You will need: pen, pencil, rubber and a ruler.

Some formulae you might need are on page 2.

This test starts with easier questions.

Try to answer all the questions.

Write all your answers and working on the test paper – do not use any rough paper. Marks may be awarded for working.

Check your work carefully.

Ask your teacher if you are not sure what to do.

TOTAL MARKS

Instructions

Answers

This means write down your

answer or show your working

and write down your answer.

Calculators

You must not use a calculator to

answer any question in this test.

Formulae

You might need to use these formulae

Trapezium

b

Area =

1

(a + b)h

2

height (h)

a

Prism

length

area of cross-section

Volume = area of cross-section × length

KS3/09/Ma/Tier 6–8/P1

2

Matching

1.

Match each instruction on the left with an instruction on the right that has the same effect.

The ﬁrst one is done for you.

Subtract 0

1

2

Add 0

Add

Add 2

Subtract

Subtract 2

1

2

Add –2

Subtract –2

1 mark

KS3/09/Ma/Tier 6–8/P1

3

Oak leaves

2.

Pupils are investigating oak leaves.

They want to collect a sample of oak leaves.

Here is their plan for how to collect the sample.

Plan

Choose one oak tree.

Take 10 leaves from the lowest branches of the tree.

Give two reasons why this sample of leaves may

not be representative of all oak leaves.

First reason:

1 mark

Second reason:

1 mark

KS3/09/Ma/Tier 6–8/P1

4

Missing lengths

3.

Look at the rectangle.

Not drawn

accurately

y

x

6.1cm

4cm

The total area of the rectangle is 40cm 2

Work out lengths x and y

x =

KS3/09/Ma/Tier 6–8/P1

cm

5

y =

cm

2 marks

Counters

4.

(a)

Bags A and B contain some counters.

6y + 1

counters

4y + 7

counters

Bag A

Bag B

The number of counters in each bag is the same.

Work out the value of y

2 marks

(b)

Bag C contains more counters than bag D.

4k

counters

k + 12

counters

Bag C

Bag D

What is the smallest possible value of k?

2 marks

KS3/09/Ma/Tier 6–8/P1

6

Prize money

5.

Gary took part in a quiz show and won a million pounds.

He spent £20 000 on a holiday.

Then he spent half of the money left on a house.

How much did Gary’s house cost?

£

2 marks

KS3/09/Ma/Tier 6–8/P1

7

Correlation

6.

Look at these two scatter graphs. They are both drawn using the same scale.

Graph A

(a)

Graph B

Which scatter graph shows positive correlation?

A

B

Explain your answer.

1 mark

(b)

Which scatter graph shows stronger correlation?

A

B

Explain your answer.

1 mark

KS3/09/Ma/Tier 6–8/P1

8

Shape rules

7.

Look at the sequence of shapes on a square grid.

Shape

number 1

Shape

number 2

Shape

number 3

Shape

number 4

The table shows information about these shapes.

Shape number

Base

Height

Area

N

B

H

A

1

4

2

4

2

4

3

6

3

4

4

8

4

4

5

10

Rules connect N, B, H and A.

Write one missing letter in each space below to complete the rule.

H

=

+

1

A

=

×

2

+

2

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