Question 1
Write the following numbers in order of size. Start with the smallest number. −7 7 0 −2 −1
(1)
Write the following numbers in order of size. Start with the smallest number. −7 7 0 −2 −1
(1)
Write down the 7th odd number.
(1)
Change 53 centimetres to millimetres.
(1)
Here are four cards. There is a number on each card.
Write down the smallest 4-digit even number that can be made using each card only once.
(1)
Here is a quadrilateral ABCD.
Measure the length of the side AB. Give your answer in centimetres.
(1)
Measure the size of the angle marked x.
(1)
Myles writes down the distance readings from his car at the start and end of a journey. Start of journey 1 2 4 6 8 miles
End of journey 1 2 8 4 5 miles Myles knows that the cost of petrol for this journey is 13p per mile. Work out the total cost of the petrol used for this journey. Give your answer in pounds.
(4)
Safiya wants to hire a van. She uses this rule to work out the cost of hiring a van for a number of days.
Safiya is going to hire the van for 7 days. Work out the cost.
(2)
The table shows information about the number of students who arrived late at school each day one week.
| Number of students | |
| Monday | 9 |
| Tuesday | 10 |
| Wednesday | 8 |
| Thursday | 6 |
| Friday | 3 |
On the grid, draw a bar chart for this information.
(3)
Here is part of a bus timetable between Wigan and Bolton.
| Wigan | 07 20 | 07 40 | 07 55 | ||
| Blackrod | 07 49 | 08 09 | 08 24 | ||
| Horwich | 08 00 | 08 14 | 08 20 | 08 29 | 08 36 |
| Lostock | 08 09 | 08 20 | 08 29 | 08 37 | 08 44 |
| Park Road | 08 14 | 08 34 | 08 41 | 08 48 | 08 58 |
| Bolton | 08 32 | 08 51 | 08 58 | 09 05 | 09 15 |
How many minutes should the 07 20 bus take to go from Wigan to Lostock?
Alison goes from Blackrod to Bolton by bus. One day Alison leaves her house at 08 00 She takes 7 minutes to walk to the bus stop in Blackrod. She takes 15 minutes to walk from the bus stop in Bolton to work. Alison needs to be at work for 09 20
(2)
Will Alison get to work for 09 20? You must show how you get your answer.
(3)
214 people go on a school trip. The people on the trip are either adults or children. There are 14 adults on the trip. 35% of the children on the trip are wearing a hat. Find the number of children on the trip who are not wearing a hat.
(4)
Write the following fractions in order of size. Start with the smallest fraction.
(2)
A shop has two different special offers on milk.
Pay for 2 bottles Pay for 1 bottle get 1 bottle free get 1 bottle half price Which offer gives the better value for money? You must show how you get your answer.
(4)
Simplify 4 c + 7 d + 3 c − d
(2)
Solve 5(2m − 6) = 40
There are x sweets in a box. There are y sweets in a packet.
(3)
Write an expression, in terms of x and y, for the total number of sweets in 3 boxes and 2 packets.
(2)
Hetvi asked her friends how many stickers they each have in their collection. Here are her results.
| 77 | 86 | 94 | 87 | 71 | 98 |
| 74 | 103 | 71 | 85 | 82 | 84 |
| 97 | 91 | 88 | 89 | 75 |
Show this information in a stem and leaf diagram.
(3)
Find the median number of stickers.
(2)
Water flows through each of the pipes that fill a lake at the same rate. It takes 4 of the pipes 12 hours to fill the lake. Work out how many hours it would take 6 pipes to fill of the lake.
(3)
The table shows information about the heights of 80 teenagers.
| Height (h cm) | Frequency |
| 150 | 8 |
| 160 | 14 |
| 170 | 24 |
| 180 | 30 |
| 190 | 4 |
Work out an estimate for the mean height of the teenagers.
(3)
The scatter graph shows information about the amount of rainfall, in mm, and the number of hours of sunshine for each of ten English towns on the same day.
One of the points is an outlier.
Write down the coordinates of this point.
(1)
Ignoring the outlier, describe the relationship between the amount of rainfall and the number of hours of sunshine.
On the same day in another English town there were 7 hours of sunshine.
(1)
Using the scatter graph, estimate the amount of rainfall in this town on this day.
(2)
The front elevation and the plan of a solid are shown on the grid. On the grid, draw the side elevation of the solid from the direction of the arrow.
(2)
Here are the first five terms of an arithmetic sequence. 7 13 19 25 31
Find an expression, in terms of n, for the nth term of this sequence.
The nth term of a different sequence is 8 − 6n
(2)
Is −58 a term of this sequence? You must show how you get your answer.
(2)
The diagram shows a plan of Jason’s garden. ABCO and DEFO are rectangles. CDO is a right-angled triangle. AFO is a sector of a circle with centre O and angle AOF = 90°
Jason is going to cover his garden with grass seed. Each bag of grass seed covers 14 m2 of garden. Each bag of grass seed costs £10.95 Work out how much it will cost Jason to buy all the bags of grass seed he needs.
(5)
Work out the value of x. Give your answer correct to 3 significant figures.
(2)
Ella invests £7000 for 2 years in an account paying compound interest. In the first year, the rate of interest is 3% In the second year, the rate of interest is 1.5% Work out the value of Ella’s investment at the end of 2 years.
(3)
24Here is the graph of y = x2 − 6x + 4
Write down the y intercept of the graph of y = x2 − 6x + 4
(1)
Write down the coordinates of the turning point of the graph of y = x2 − 6x + 4
(1)
Use the graph to find estimates for the roots of x2 − 6x + 4 = 0
(2)
Find the value of the reciprocal of 0.8
x = 4700 correct to 2 significant figures.
(1)
The population of a town increased by 9% between 2018 and 2019 The population in 2019 was 165 680 Calculate the population in 2018
(2)
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