GCSE Mathematics
8300/1F Foundation Tier Paper 1 Non-Calculator | November 2024
- Date
- Wednesday 6 November 2024
- Time
- 1 hour 30 minutes
- Total marks
- 80
- Materials needed
- Mathematical instruments, formulae sheet (enclosed)
- Tier
- Foundation
- Paper
- 1 (Non-Calculator)
Instructions & Advice
Use black ink or black ball-point pen. Draw diagrams in pencil. You must not use a calculator. Answer all questions in the spaces provided. In all calculations, show clearly how you work out your answer. The marks for questions are shown in brackets.
Answer all questions
Questions 1 – 9
1Powers and Roots3
1 (a) Write down the value of √49 [1 mark]
Answer
1 (b) Work out the value of 33 [1 mark]
Answer
1 (c) Write 10 000 as a power of 10 [1 mark]
Answer
Show working space
2Units — Ounces2
1 pound = 16 ounces
Work out the number of ounces in 3 pounds.
Work out the number of ounces in 3 pounds.
Answer
Show working space
3Fractions2
3 (a) Write 32 as a mixed number. [1 mark]
Answer
3 (b) Work out 15 + 15 [1 mark]
Answer
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4Factors / Counterexample3
4 (a) Write down all the factors of 20 [2 marks]
Answer
4 (b) Mica says, “When two multiples of 5 are added, the answer is always a multiple of 10.”
Give one example to show that he is wrong. [1 mark]
Give one example to show that he is wrong. [1 mark]
Show working space
5Ordering Values2
Put these values in order of size, starting with the smallest.
80% 0.7 34
80% 0.7 34
Answer
Show working space
6Money — Scarves4
Sally buys two hats and three scarves.
The total cost is £28.50
Each hat costs £4.50
Work out the cost of each scarf.
The total cost is £28.50
Each hat costs £4.50
Work out the cost of each scarf.
Answer £
Show working space
7Frequency Tree6
120 people visit a maze.
80 are children, the rest are adults.
At the start of the maze you can turn left or right.
45 children turn left.
75 people in total turn left.
80 are children, the rest are adults.
At the start of the maze you can turn left or right.
45 children turn left.
75 people in total turn left.
7 (a) Complete the frequency tree. [4 marks]
Complete the six missing frequencies (45 children turn left; 75 people in total turn left):
Adults:
Children — Left: Right:
Adults — Left: Right:
7 (b) What fraction of the children turn left?
Give your answer in its simplest form. [2 marks]
Give your answer in its simplest form. [2 marks]
Answer
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8Bar Chart Mistakes3
The table shows information about where students prefer to revise.
| Library | Home | In class | |
|---|---|---|---|
| Number | 30 | 68 | 37 |
Ed draws a bar chart to represent the data.
Write down three mistakes he has made.
Write down three mistakes he has made.
Mistake 1
Mistake 2
Mistake 3
Show working space
9Probability Table6
A number is picked at random from the first three positive odd numbers.
A number is picked at random from the first four prime numbers.
The two numbers are multiplied to get a score.
A number is picked at random from the first four prime numbers.
The two numbers are multiplied to get a score.
9 (a) Complete the table. [4 marks]
| prime × | 2 | 3 | 5 | 7 |
|---|---|---|---|---|
| 1 | ||||
| 3 | ||||
| 5 |
9 (b) What is the probability that the score is a square number?
Give your answer as a fraction. [2 marks]
Give your answer as a fraction. [2 marks]
Answer
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Questions 10 – 18
10Algebra — Simplify4
10 (a) Simplify fully 8m + 4 − 2m + 7 [2 marks]
Answer
10 (b) Simplify fully c × 6d2 [2 marks]
Answer
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11Percentage — Multipack4
The multipack costs 10% less than 6 single bags.
Work out the cost of the multipack.
Work out the cost of the multipack.
Multipack £
Show working space
12Ratio — Simplest Form1
Write the ratio 6 : 2 in the form n : 1
Answer: 1
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13Tick Boxes — Statements2
x and y are two different positive numbers.
For each statement, tick the correct box.
For each statement, tick the correct box.
| Statement | Always true | Sometimes true | Never true |
|---|---|---|---|
| x + y is positive | |||
| x − y is negative |
Show working space
14Congruence / Enlargement3
14 (a) On the grid, draw a shape congruent to triangle A. [1 mark]
14 (b) On the grid, enlarge shape B by scale factor 13 [2 marks]
14 (a) Triangle A
14 (b) Shape B
Draw on the grid below. Use Polygon to click vertices (snap to grid). Click the first vertex again to close. Use Select to drag vertices.
Show working space
15Ratio — Books3
35 books are either for adults or for children.
number for adults : number for children = 6 : 1
How many more books are for adults than for children?
number for adults : number for children = 6 : 1
How many more books are for adults than for children?
Answer
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16Semicircle and Square2
This shape is made from a semicircle and a square.
Not drawn accurately
On the centimetre grid below, make an accurate drawing of the shape.
Not drawn accurately
On the centimetre grid below, make an accurate drawing of the shape.
Draw the square with Polygon (4 corners, 6 cm sides). Then switch to Semicircle and click the two diameter endpoints.
Show working space
17Speed3
A car travels 4 miles in 5 minutes.
Work out the average speed in miles per hour.
Work out the average speed in miles per hour.
Answer
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18Coordinates3
J (0, 12) and K (5, 10) are points on the straight line JKLM.
Not drawn accurately
JK = KL = LM
Work out the coordinates of M.
Not drawn accurately
JK = KL = LM
Work out the coordinates of M.
Answer (,)
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Questions 19 – 27
19Powers2
Work out the value of 1.52
Answer
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20Number Machines3
20 (a) Complete so that y = 4x + 5 [1 mark]
Box 1Box 2
20 (b) Complete so that y = 3x − 24 [1 mark]
Box 1
20 (c) Complete so that y = x [1 mark]
Box 2
Show working space
21Statistics — Tick Statements3
Each number in a list is increased by 10.
Tick one box for each statement.
Tick one box for each statement.
| Statement | True | False | Cannot tell |
|---|---|---|---|
| The mode is increased by 10 | |||
| The median is increased by 10 | |||
| The range is increased by 10 |
Show working space
22Sequences3
22 (a) Write the missing term in the geometric progression. [1 mark]
1 4 16 256
22 (b) A Fibonacci-type sequence begins 5, −9
The sequence is continued by adding the previous two terms.
Work out the next two terms. [2 marks]
The sequence is continued by adding the previous two terms.
Work out the next two terms. [2 marks]
Answerand
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23Prism3
Here is a solid prism.
23 (a) How many faces does the prism have? [1 mark]
23 (b) volume = 3500 cm3, length = 20 cm
Work out the area of the cross-section. [2 marks]
Work out the area of the cross-section. [2 marks]
Answer
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24Fractions2
Work out 1 − 15 − 310
Give your answer as a fraction.
Give your answer as a fraction.
Answer
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25Trigonometry1
Write down the value of sin 90°
Answer
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26Area — Circles4
A large circle and a small circle are shown.
The radius of the large circle is 12 cm
radius of large circle : radius of small circle = 4 : 1
Not drawn accurately
Work out the shaded area.
Give your answer in terms of π.
The radius of the large circle is 12 cm
radius of large circle : radius of small circle = 4 : 1
Not drawn accurately
Work out the shaded area.
Give your answer in terms of π.
Answer
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27Inverse Proportion3
27 (a) Assume each person works at the same rate.
10 people can complete a job in 9 hours.
If 15 people work on the same job, how many hours will it take? [2 marks]
10 people can complete a job in 9 hours.
If 15 people work on the same job, how many hours will it take? [2 marks]
Answer
27 (b) In fact, of the 15 people: 6 work at a slower rate; 9 work at a faster rate.
What does this mean about the number of hours?
Tick one box. [1 mark]
What does this mean about the number of hours?
Tick one box. [1 mark]
| It is greater than the answer to (a) |
| It is the same as the answer to (a) |
| It is less than the answer to (a) |
| It is not possible to say |
Show working space