Work out 30 × 20.
[1]
Work out 96 ÷ 4.
[1]
Write 3% as a decimal.
[1]
Use a value from the box to complete the following statement.
[2]
[2]
Complete the vertical line graph, pictogram and key.
[3]
How many shop workers were asked?
[1]
Write down the modal month.
[1]
3. (a) This shape is drawn on a triangular dotty grid.
Complete this shape so that it has rotational symmetry of order 3.
[2]
This shape is drawn on a square dotty grid. Complete the shaded shape so that L is a line of symmetry.
You must shade the smallest possible number of squares.
[2]
Fifty students in a small school voted for their Head Girl and Head Boy.
The three candidates for Head Girl were Abby, Bea and Cherry. The frequency table shows the tally of the votes for 30 of the students.
The remaining 20 votes are shown below.
Abby Bea Abby Abby Cherry Bea Abby Bea Cherry Abby Cherry Abby Bea Abby Cherry Bea Cherry Abby Bea Abby
Which girl won the vote?
You must show all your working.
[2]
The frequency table shows the results of voting for the Head Boy.
| Candidate | Frequency |
| Dan | 13 |
| Eli | 20 |
| Fred | 17 |
What percentage of the 50 students voted for the winning boy?
[2]
Sid is meeting his friend at Whiteview shopping centre at 1:30 p.m.
What is the time of the latest bus he can take from Newland bus station?
[1]
Pam takes the 08:40 bus from Highview castle to Broadacre bus station. The bus leaves Highview castle on time, but arrives at Broadacre bus station 15 minutes late.
How many minutes does Pam’s journey take?
[2]
Adesh wanted a 12-month internet and TV contract. He chose the cheaper of these two deals.
Which deal did Adesh choose and how much cheaper was it? You must show all your working.
[5]
7. (a) Simplify each of the following.
[2]
[2]
[2]
A can contains w ml of lemonade. Taka drinks 15 ml of lemonade from the can.
Write an expression, in terms of w, for the amount of lemonade that is left in the can.
[1]
In the first week of April, Johan made r bird boxes. In the second week of April, Johan made half as many bird boxes as he did the week before.
Write an expression, in terms of r, for the number of bird boxes Johan made in the
second week of April.
[1]
8. (a) Here is a number machine.
The input is 45.
What is the output?
[1]
The output is 0·9.
What is the input?
[1]
This number machine can be used to find coordinates (x, y).
Use the number machine to complete these coordinates.
[3]
These coordinates can be used to draw a straight line.
Plot the coordinates found by the number machine and draw the line.
[3]
Chris and Sue are buying some items for their vegetable garden.
Chris buys a box of vegetable plants.
How much money does he save compared to buying 5 single strips?
[3]
Sue buys 20 bags of compost costing £6.99 each and some packets of seed costing £2.89 each.
She correctly estimates her bill to be £170.
How many packets of seed did she buy?
[3]
An art shop gives away a free copy of a photograph with purchases over £10.
The table shows the probability that each photograph, chosen at random, is given away.
| Photograph | Flower | Mountain | Water | City |
| Probability | 0·32 | 0·28 | 0·25 | 0·15 |
Copies of these 4 photographs are the only photographs given away by the art shop in this offer.
Explain how you know this.
[1]
Work out the probability that the photograph given away by the art shop is of the
Water or City.
[1]
Solve the following equations.
[1]
[2]
Gemma has her kitchen floor tiled. The pattern is made up of 80 cream tiles and 24 green tiles.
Write the ratio of cream tiles to green tiles in its simplest form.
cream tiles: green tiles = 
[2]
Gemma then has her hallway tiled with cream tiles. For the kitchen and hallway, the ratio of cream tiles: green tiles is 19: 3.
How many cream tiles were used altogether to tile the kitchen and hallway?
[2]
Gemma was quoted £820 to have her kitchen tiled. Tiling the hallway increased this by 70%.
By how much did her quote increase?
[2]
The grouped frequency table shows information about the percentage of plastic packaging that each of the 235 members of an eco-group recycled in 2018.
| Plastic recycled, p (%) | Frequency |
30  p  40 | 12 |
40  p  50 | 65 |
50  p  60 | 74 |
60 p  70 | 55 |
70 p  80 | 29 |
On the graph paper below, draw a grouped frequency diagram to show this data.
[2]
In 2019, the eco-group had more members. They recorded the percentage of plastic packaging that they each recycled for that year. The grouped frequency diagram of the results is shown below.
What is the probability that a member of the eco-group recycled at least 70% of their
plastic packaging in 2019?
[2]
Use the information provided to write a statement comparing the percentage of plastic
recycled in these two years.
[1]
14. (a)
Show that AB and CD are not parallel.
Give a reason for each step of your answer.
[2]
Calculate the value of x.
Give reasons and calculations to support your answer.
[3]
Write down the mathematical name for triangle PQR.
Give a reason for your answer.
[1]
In one of the beds, both Meera and Joe counted many more yellow rattle plants than in the other beds.
Calculate the difference between Joe’s plant count and Meera’s plant count for this bed.
[1]
In one wildflower bed, Meera counted 60 yellow rattle plants and Joe counted 70. They want to use these values to estimate the total number of yellow rattle plants in this bed.
Meera says,
[1]
This wildflower bed has an area of 40 m2.
Use Joe’s method to calculate an estimate of the number of yellow rattle plants in
this bed.
[2]
The tank is full and at 11:50 the tap is opened.
At what time will the tank be empty?
[6]
Find the fraction that is subtracted.
[3]
Peter and Paula record the number of cars in each of two airport car parks, A and B, between 8 a.m. and 12 noon one Saturday morning. This was done to find out if there was a peak time for parking during that period. The table shows the data they collected.
| Time | 8 a.m. | 9 a.m. | 10 a.m. | 11 a.m. | 12 noon |
| Number of cars in car park A | 178 | 179 | 183 | 180 | 179 |
| Number of cars in car park B | 176 | 175 | 181 | 177 | 176 |
Paula draws this graph to represent the data.
Peter says, “This graph is not sensible as it does not show the data fairly.”
What has been done in the drawing of the graph that has made Peter think this?
[1]
What error might this lead to, for people who do not look carefully at the graph?
[1]
Lena makes a fruit drink by mixing orange juice, pineapple juice and sparkling water in the ratio
orange: pineapple: water = 3: 2: 7.
What fraction of the mix is water?
[1]
Lena pours 300 ml of her fruit drink into a glass.
How much pineapple juice is in Lena’s glass?
[2]
20. (a) Simplify 18
÷ 9
.
[1]
The diagram shows two circles, one inside the other.
The radius of the outer circle is 6 cm. The radius of the inner circle is 5 cm.
Work out the area of the shaded region.
Give your answer in terms of 
.
[3]
[5]
Ivan is part of a team making bags of free items to give away at a college open evening.
He has: • 140 discount vouchers, • 56 pencils, • 280 sweets to share between all his bags.
He uses all the vouchers, all the pencils and all the sweets. He makes as many bags as possible. The contents of each bag are the same.
How many bags does Ivan make and what does each bag contain?
[5]
A line L has equation. y 
12 
4x
Write down the equation of a different line that is parallel to L.
[1]
Factorise.3x2 
4xy
[1]
[1]
[2]
xy 
1
Explain why neither x nor y can be zero.
[1]
On the axes below, sketch the graph of y 
[2]
[1]
The variables V and p are connected by the equation 
5.
Find the value of V when p = 0·1.
[2]
A cinema has standard seats and premier seats. Omar and Fatima each book some cinema tickets.
Omar books 3 standard and 2 premier seats and pays £30. Fatima books 2 standard and 4 premier seats and pays £40.
Use an algebraic method to work out the difference in cost between a standard seat and
a premier seat.
[5]
The paper as printed
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