1.Put these decimals in ascending order.
0.560.0890.5010.80.5
…………, …………., …………, …………, …………,
[2]
2.Simplify these expressions.
5h + 7 – 3h= ......
[1]
h – 1 + h + 4 = ......
[1]
9 – 3h+ 5h = ......
[1]
h2 + 2h+ 4h= ......
[1]
3.Temperatures were taken on one day in each of five cities.
The results are shown in the table.
at midnight / Temperature at midday
Bristol / 2C / 9C
Manchester / –2C / 8C
Liverpool / –4C / 7C
Norwich / 3C / 8C
York / –7C / 2C
(a)Which city had the lowest temperature at midnight?
......
[1]
(b)Which city had the greatest rise in temperature between midnight and midday?
......
......
[1]
(c)Which city had the smallest rise in temperature between midnight and midday?
......
......
......
[1]
(d)Which of the five cities is being described here?
‘Its temperature at midday is 6°C higher than the temperature in York and its temperature at midnight is 2°C higher than the temperature in Liverpool’.
......
[1]
4. This pair of decimal numbers add to 1.
0.3 / 0.7(a)Write a different pair of decimal numbers that add to 1.
[1]
(b)The pair of decimal numbers below should add to 1.
Write the missing decimal number.
0.85[1]
5.The diagram shows two identical rectangles joined to make an L shape.
Work out
(a)the perimeter of the L shape.
......
......
......
...... cm
[3]
6.This word formula tells you how to find the cost in pounds of hiring a minibus.
cost = number of miles x 2, then add 10(a)Steve hires a minibus to travel 30 miles to get to Luton Airport.
How much will it cost?
£ ......
[2]
(b)Sarah hires a minibus to travel forty seven miles.
How much will it cost?
£ ......
[2]
(c)For a different journey, Dave paid £42 to hire a minibus.
How many miles was his journey?
......
[2]
7.(a)The diagram shows a rectangle.
Its dimensions are 3a by 5b
Write a simplified expression for the perimeter of this rectangle.
Perimeter: ......
[1]
8.(a)
Tina wants to build some shelves in her bedroom.
She goes to the DIY store to buy what she needs.
Fill in the 5 gaps in her bill.
2 supports at £3.55 each.£ ......3 pairs of brackets at £2.49 for each pair.£ ......
5.4 metres of shelving at £2.20 per metre.£ ......
3 packets of screws at ...... per packet.£ ...... 1.86......
TOTAL / £ ......
[5]
(b)Alan has £20.
He wants to buy some football magazines.
They cost £2.99 each.
What is the greatest number of football magazines that Alan can buy?
......
......
......
[2]
9.(a)In a magazine there are three adverts on the same page.
Advert 1 uses of the pageAdvert 2 uses of the page
Advert 3 uses of the page
In total, what fraction of the page do the three adverts use?
Show your working.
[2]
(b)
An advert uses of a page. How much does the advert cost?
£ ...... ………………..
[1]
10.(a) Write these numbers in standard form
i)167,000,000……….……….
ii)78,000……….……….
iii)0.0000000812……….……….
[3]
(b) Calculate, leaving your answer in standard form
2.5 x 103 – 7.1 x 102 =
[2]
11.One way to make a magic square is to substitute numbers into this algebra grid.
a + b / a – b + c / a – ca – b – c / a / a + b + c
a + c / a + b – c / a – b
(a)Complete the magic square below using the values
a = 10b = 3c = 5
510
15
[2]
12.(a)A pupil measured the angles in a triangle.
She said:
The angles are 30°, 60° and 100°
Could she be correct? Tick () Yes or No.
Yes No
Explain your answer.
[1]
(b)This diagram is not drawn accurately.
Calculate the size of angle m
Show your working.
...... °
[2]
13.Solve these equations.
Show your working.
h – 6 = 37
h = ………………….
[1]
4w = 28
w = ………………….
[1]
8k - 1 = 15
k = ......
[1]
2m + 5 = 10
m = ......
[1]
3t + 4 = t + 13
t = ......
[2]
14.The drawing shows an isosceles triangle.
(a)When angle b is 70o, what is the size of angle a?
Show your working.
……………o
[2]
(b)When angle a is 70o, what is the size of angle b?
Show your working.
……………o
[2]
15. Calculate
(a)4 – 7 …………………
(b)-12 + 9 …………………
(c)-4 – 6 …………………
(d)-3 - -2 …………………
[4]
16. Calculate the perimeter of the following shape:
Perimeter = …………………………………[3]
17.
18.
……………………………………………..[2]
The Becket School1