1707 words - 7 pages

Ma

KEY STAGE

3

TIER

5–7

2004

Mathematics test

Paper 1

Calculator not allowed

Please read this page, but do not open your booklet until your

teacher tells you to start. Write your name and the name of

your school in the spaces below.

First name

Last name

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 3.

■

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 ...view middle of the document...

The longest day is in the month of

On this day, there are about

hours of daylight.

The shortest day is in the month of

On this day, there are about

hours of daylight.

3 marks

KS3/04/Ma/Tier 5–7/P1

5

Plasters

3.

I buy a box of different size plasters.

Assume each plaster is equally likely to be the top plaster inside the box.

Altogether there are 35 plasters.

I take the top plaster from inside the box.

(a) What is the probability that the plaster is of size D?

1 mark

(b) What is the probability that the plaster is of size A?

1 mark

(c) What is the probability that the plaster is not of size A?

1 mark

KS3/04/Ma/Tier 5–7/P1

6

Calculators

4.

You can buy a new calculator for £1.25

In 1979 the same type of calculator

cost 22 times as much as it costs now.

How much did the same type of calculator cost in 1979?

Show your working.

£

2 marks

KS3/04/Ma/Tier 5–7/P1

7

Delivery charges

5.

A company sells books using the internet.

The graph shows their delivery charges.

KS3/04/Ma/Tier 5–7/P1

8

(a) Use the graph to fill in the values in this table.

Number of books

Delivery charge (£)

8

9

1 mark

(b) For every extra book you buy, how much more must you pay for delivery?

p

1 mark

(c) A second company sells books using the internet.

Its delivery charge is £1.00 per book.

On the graph opposite, draw a line to show this information.

1 mark

(d) Complete the sentence.

Delivery is cheaper with the first company

if you buy at least

books.

1 mark

KS3/04/Ma/Tier 5–7/P1

9

Magic square

6.

One way to make a magic square is to substitute numbers into this

algebra grid.

(a) Complete the magic square below using the values

a = 10

b = 3

c = 5

2 marks

KS3/04/Ma/Tier 5–7/P1

10

(b) Here is the algebra grid again.

I use different values for a, b and c to complete the magic square.

What values for a, b and c did I use?

a =

KS3/04/Ma/Tier 5–7/P1

b =

c =

11

2 marks

Fractions

7.

Look at this diagram.

The diagram can help you work out some fraction calculations.

Calculate

1

+

12

=

1

3

+

1

4

=

1

3

KS3/04/Ma/Tier 5–7/P1

1

4

–

1

6

=

1 mark

1 mark

1 mark

12

Functions

8. (a) A function maps the number n to the number n + 2

Complete the missing values.

1 mark

(b) A different function maps the number n to the number 2n

Complete the missing values.

1 mark

(c) Many different functions can map the number 25 to the number 5

Complete the tables by writing two different functions.

2 marks

KS3/04/Ma/Tier 5–7/P1

13

Cuboids

9.

You can make only four different cuboids with 16 cubes.

(a) Which of the cuboids A and D has the larger surface area?

Tick ( ) the correct answer below.

Cuboid A

Cuboid D

Both the same

Explain how you know.

1 mark

KS3/04/Ma/Tier 5–7/P1

14

(b) Which...

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