Information: The total mark for this section is 14.
Kate uses a machine to make toys. She makes:
- 800 toys in one hour
- toys for 6 hours each day
Kate checks 5% of the toys she makes in a day for any faults.
How many toys does Kate check in a day?
(a)Write 0.3 as a fraction. (1 mark)
(b)Work out 1.6 × 1000 (1 mark)
(c)Write 19.075 correct to 1 decimal place. (1 mark)
(a)Work out (17 − 3)2 + 42 (3 marks)
(b)Use a reverse calculation to show a check of your answer. (1 mark)
Rupert is a gardener. He wants to put grass in the space shown in the diagram.
Work out the area of the space for the grass.
Diagrams are not accurately drawn.
Information: The total mark for this section is 42. The total mark for the paper is 56.
Alan takes part in a health study. He records the time he spends looking at different screens on Monday.
| computer | 5.5 hours |
| mobile phone | 40 minutes |
| TV | 3 34 hours |
Alan thinks he spent more than 10 hours in total looking at different screens on Monday.
Is Alan correct? Show why you think this.
Sarah sees this poster about results of a survey about favourite meals in the school canteen.
Favourite meals of 180 students
She decides to write a comment about the results on social media.
How many students chose fish as their favourite meal? You must show all your working.
Patrick needs to put fence panels around a field. The field is in the shape of a rectangle.
Patrick will leave a gap of 260 cm for a gate.
Each fence panel is 1.8 m long. Patrick can cut and join the fence panels.
Work out the total number of fence panels Patrick needs to put around this field.
Varna works in a bookshop. The table shows the number of books she sold in the last four weeks.
| week | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| number of books sold | 175 | 120 | 215 | 150 |
Varna begins to show this information in a chart. On the grid, complete a suitable chart for Varna.
Marks are awarded for: (a) Completes linear scale (b) Correct labels on horizontal and vertical axes (c) Accurate plotting of all four weeks.
Enter your scale max and the bar height for each week:
Joe sells cars. He sold 840 cars last year. 720 of these cars were petrol cars. All the other cars he sold were electric cars.
Joe writes a report for his manager. He states,
Is this statement correct? You must show your working.
Raphael owns a barber shop. The table shows the number of customers who had a haircut last week at the shop.
| Mon | Tue | Wed | Thu | Fri | Sat | Sun |
|---|---|---|---|---|---|---|
| 58 | 64 | 49 | 73 | 89 | 96 | 103 |
The price of a haircut was £8.
Next week Raphael will:
- increase the price of a haircut by 25%
- have the same mean daily number of customers.
Raphael thinks his mean daily income next week will be more than £750.
Is Raphael correct? Show why you think this.
Here is a cuboid.
Calculate the volume of the cuboid. Remember to give units with your answer.
Anju works at a town hall.
The town population is four hundred and seventy thousand and fifteen.
Anju uses this rule to work out how many people in the town have a full-time job.
Anju thinks 272 019 people in the town have a full-time job.
Is Anju correct? Show why you think this.
Wesley is planning his new bathroom. He will put a bath and a sink in the bathroom.
The bath needs:
- a rectangular space 1.75 m by 1 m
- to be against the back wall
- to be an equal distance from both side walls.
The sink needs:
- a square space 0.5 m by 0.5 m
- to be against a side wall
- to be at least 1 m from the bath
- to be at least 1 m from the doorway.
Key: 1 square on the grid is 0.25 m by 0.25 m in the bathroom.
Enter the grid coordinates (counted in squares from the back-left, where the back wall = top row 0 and the left side wall = column 0):
Here are some numbers.
(a)Work out the range of these numbers. (2 marks)
(b)Show a check of your answer. (1 mark)
Charly is organising a party. She needs to buy 90 party plates.
She finds this offer.
normal price £3.55
now 15 off the normal price
Charly has £45 to spend on the plates.
Does Charly have enough money to buy 90 plates? Show why you think this.