Stage 8 Test B

Question 1

The cost of a council tax bill increased by 6%.
The council tax bill increased by £78.

Work out the cost of the council tax bill before the increase.

[2]

Question 2

Write 7.28 × 10⁶ as an ordinary number.

[1]

Write 0.00501 in standard form.

[1]

Calculate $1.09 \times 10^5) \div (4.36 \times 10^{-3})$ Give your answer in standard form.

[2]

Question 3

A piece of gold has a mass of 722 grams and a volume of 38 cm³.

Work out the density of the piece of gold.

[1]

Question 4

Bill is a taxi driver.

You can use this graph to find the cost of a taxi for different distances.

Distance (miles)	Journey Cost (£)
0	3
5	10
10	17
15	24
20	31
25	38

For each journey there is a fixed charge plus a charge for the distance.

How much is the fixed charge?

[1]

Bill makes two journeys.

The distance of one journey is 10 miles further than the other journey.

Work out the difference between the two journey costs.

[2]

Question 5

Expand and simplify $(x - 4) (x - 9)$

[2]

Factorise $x^2 - 64$

[1]

Question 6

Solve $y^2 - y - 20 = 0$

[3]

Question 7

Dani leaves her house at 08 00.
She drives 28 miles to work.
She drives at an average speed of 35 miles per hour.

At what time does Dani arrive at work?

[2]

Question 8

Complete the table of values for $y = x^2 - x - 3$

$x$	-2	-1	0	1	2	3	4
$y$

On the grid draw the graph of $y = x^2 - x - 3$ for values of $x\,$ from -2 to 4

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