Attempt All Questions and Show All Working

Year 8 Paper2 Name ……………………………….

Calculator Set …….. Staff ………….

Attempt all questions and show all working

Use of calculators is permitted Time 1hour

1. (a) Write the answers.

………………..

(b) Work out the answer to

Answer = …………

4 + 5 + 1 ´ 5

(d) Now put brackets in the calculation to make the answer 34.

4 + 5 + 1 ´ 5

2. Use your calculator to find the values of

(a) = ………………………. (b) = …………………………….

(e) = ……………………. (f) = ……………………………

3. (i) Complete the graph opposite using the

information in the table below.

Number of misses
x / Number of Competitors
f
0 / 4
1 / 6
2 / 8
3 / 4
4 / 2
5 / 1

4. (a) On the cm2 grid below, draw a right-angled triangle with an area of 12cm2

Use line AB as the base of the triangle.

(b) Now draw an isosceles triangle with an area of 12cm2

Use line AB as the base of the triangle.

5. (a) The number line goes from 0 to 100 using 4 equal steps.

Each step size is 25

Fill in the missing numbers on the number line.

(b) The number line goes from 0 to 100 using 5 equal steps.

Fill in the missing numbers on the number line.

(d) Another number line goes up in steps of size 15

How many of these steps will it take to get from 0 to 60?

Answer = ……….

6. The scores (out of 25) achieved by 20 people in a quiz competition were:

16 / 19 / 17 / 6 / 11 / 8 / 14 / 21 / 23 / 9
12 / 7 / 14 / 18 / 22 / 13 / 24 / 4 / 22 / 12

Complete the frequency table below.

Score / Tally Marks / Frequency
0 – 5
6 – 10
11 – 15
16 – 20
21 – 25

7. Use your calculator to evaluate

(a) = ………………. (b) = …………………

8. “ The probability that Nottingham Forest win the F.A. Cup is 1.2”

“ The probability that Birmingham City will win the F.A. Cup is –0.5.”

Explain why the value of the probability in each of these statements is not possible.

……………………………………………………………………………………………………………

Households with Television Licences

1966 / 1971 / 1976 / 1981 / 1986
Black & White / 53% / 62% / 36% / 18% / 12%
Colour / 0% / 10% / 49% / 69% / 81%

To watch TV, you are required to have either a black & white licence or a colour licence.

(a) What percentage of households had a TV licence in 1976?

Answer = ………………………

(b) Comment on how the percentage of licences for colour television compares with the percentage of licences for black & white television over the years 1966 to 1986.

……………………………………………………………………………………………………………

Answer = ………………………

(d) In 1991, 97% of households had a TV licence.

What fraction of households did not have a TV licence?

Answer = ………………………

10. The cost, C pence, of advertising in the local newspaper is worked out using the formula

Where n is the number of words in the advertisement.

(a) Annalise puts in an advertisement of 15 words.

Work out the cost.

Answer = ………………………

(b) The cost of Debbie’s advertisement is 250 pence.

(i) Use the formula to write down an equation.

Answer = ………………………

(ii) Solve the equation to find the number of words in Debbie’s advertisement.

Answer = ………………………

11. (a) When a pendant is carved from a block of wood, of the wood is cut away.

The original block of wood weighs 225 grams.

What weight of wood is cut away?

Answer = ………………………

(b)

The market price of a pullover is £15.99.

What is the sale price, to the nearest penny?

Answer = ………………………

12. Ten boys of different ages were set the same General knowledge test.

The results are shown in the table below.

Boy / A / B / C / D / E / F / G / H / I / J
Age (months) / 131 / 142 / 152 / 153 / 158 / 163 / 166 / 170 / 172 / 173
Score / 18 / 23 / 27 / 32 / 24 / 28 / 26 / 35 / 32 / 25

The mean of the ages of the boys is 158 months.

Calculate the mean of their scores.

Answer = …………………

13. The diagrams in this question are not drawn to scale.

(i) (a) What is the formula for the area of a triangle?

Area = ……………………

(b) Calculate the area of this triangle

{take care to give units}

Area = ……………..

(ii) A circle of radius 6m (a) Using the formula Calculate the area of

this circle

Area = …………….

(b) What is the formula for the circumference of a

circle?

Circumference = …………….

(a) Plot the points , , and on the grid above.

Draw a straight line through the four points.

(b) Complete the table of values for the graph of

x / –2 / –1 / 0 / 1
x / 0 / 3
+1 / +1 / +1
y / –1 / 2

Plot these points on the grid above and draw a straight line through them.

15.

(a) The length AB of a side of a square with area 300 m2 is m.

Sabeeha wants to find this length, but her calculator does not have a key, so she has to use trial and improvement method.

Her first 2 trials are as follows:

Showing your working clearly, continue for at least 2 more trials until you have found the length of AB correct to 1 decimal place.

The trials are:

x / x2 /

Outcome

17 / 289 / Too Low
18 / 324 / Too High
17.5

Answer = ………m

(b) Change your answer to part (a) into centimetres.

Answer = ……….cm.