GCSE Mathematics Paper 2 - Foundation Tier

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Questions and Answers

Total for Question 12 is ______ marks

Anna has ______ biscuits

AB = BC = BD = ______

DAB

Find a formula for ______ in terms of n

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Total for Question 14 is ______ marks

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The total marks for Question 21 is ______ marks.

2 Signup and view all the answers

The total marks for Question 22 is also ______ marks.

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Question 23 has a total of ______ marks available.

4 Signup and view all the answers

The table shows information about the number of ______.

people Signup and view all the answers

In the context of results, 'gift' refers to a specific ______.

category Signup and view all the answers

Write these numbers in order of size. Start with the smallest ______.

number Signup and view all the answers

Find the ______ of the numbers.

value Signup and view all the answers

What percentage do you get when you find the ______?

value Signup and view all the answers

Two of the numbers are hidden. 3, ?, 8, 5, ? The ______ of the five numbers is 3.

mode Signup and view all the answers

Here is a list of ______.

numbers Signup and view all the answers

Car park ______.

capacity Signup and view all the answers

______ sold?

not Signup and view all the answers

Here is a list of stones: 60, 30, 0, ______, 3, 6, 8.

unknown Signup and view all the answers

In the equation y = ______3, y is expressed as a function of x.

x Signup and view all the answers

In the equation y = ______, y is a linear function of x.

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The formula for distance 'd' is given by d = ______, where n is a variable.

n Signup and view all the answers

In the context of calculations, 'a' and 'b' represent ______ quantities.

unknown Signup and view all the answers

The total for the paper is ______ marks.

80 Signup and view all the answers

The formula for H is H = f + ______

f Signup and view all the answers

The weight (w) is measured in ______

grams Signup and view all the answers

The frequency for w grams is listed as ______

6 Signup and view all the answers

The value of w listed in the table is ______

30 Signup and view all the answers

The weight category with a frequency of 3 corresponds to ______

60 Signup and view all the answers

According to the table, the total frequency should be ______

30 Signup and view all the answers

The total marks assigned for Question 19 is ______

3 Signup and view all the answers

The total marks for Question 20 is ______

4 Signup and view all the answers

In this context, H represents ______

a calculation Signup and view all the answers

A write down instruction follows the phrase ______

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Study Notes

GCSE Mathematics Paper 2 (Calculator) - Foundation Tier - Thursday 7 November 2019

Paper Reference: 1MA1/2F
Time: 1 hour 30 minutes
Materials Required: Ruler, protractor, compasses, pen, pencil, eraser, calculator, tracing paper (optional)
Instructions:
- Use black ink or ballpoint pen.
- Fill in the boxes at the top of the page with your name, centre number, and candidate number.
- Answer all questions.
- Write down all stages of your working.
- Show all your working.
- Diagrams are not to scale, unless otherwise stated.
- Calculators may be used.
- If no π button is available, use 3.142 as the value of π.
Information:
- Total marks: 80
- Marks for each question are shown in brackets.
- Use the marks as a guide to the time you should spend on each question.
Advice:
- Read each question carefully.
- Keep track of time.
- Attempt every question.
- Check your answers if time allows.

Question 1

Instructions: Put the following numbers in order, starting with the smallest: 8, -4, 1, -7, -2
Answer: -7, -4, -2, 1, 8

Question 2

Instructions: Round 8375 to the nearest thousand.
Answer: 8000

Question 3

Instructions: Convert 0.23 to a percentage.
Answer: 23%

Question 4

Instructions: Find the value of √17.64
Answer: 4.2

Question 5

Instructions: Find the value of 6⁵
Answer: 7776

Question 6

Instructions: A cinema has 14 rows of 15 seats each. Tickets cost £6.50 each. A total of £1274 was made in ticket sales. How many tickets were not sold?
Answer: 276 tickets

Question 7

Instructions: Harry has 20 sweets. He gives 7 to Nadia. What fraction of the 20 sweets does Harry have now?
Answer: 13/20

Question 8

Part (a): Input 6 into the number machine (× 8, - 5). What is the output?
Answer: 43
Part (b): Input 17 into the number machine (+13, ?). Output is 10. Complete the number machine.
Answer: -3

Question 9

Part (a): Find the median of the numbers 6, 4, 8, 9, 4, 3.
Answer: 5
Part (b): What is the probability of picking an odd number from the list?
Answer: 2/6 = 1/3
Part (c): The mode of the numbers 3, ?, 8, 5, ? is 3, and the mean is 5. What are the two hidden numbers?
Answer: 8 and 5

Question 10

Instructions: Jon parked his car at 10:45. He paid £8.40 to leave the car park. Parking costs £0.024 Euros per minute. At what time did Jon drive out of the car park?
Answer: 11:50

Question 11

Part (a): Change 3 stones to kilograms.
Answer: 19 kg
Part (b): Change 80 kg to stones.
Answer: 5 stones

Question 12

Instructions: Find the number that is exactly halfway between 1/10 and 3/5.
Answer: 7/20 or 0.35

Question 13

Instructions: Draw an enlargement of the shaded shape with a scale factor of 3.

Question 14

Instructions: Compare the value for money of two compost offers: 2 bags of 20L compost for £3.50 and 3 bags of 40L compost for £9.
Answer: The 2 bags for £3.50 offer is better value.

Question 15

Instructions: A plane is 19.2 m long. The scale of a model is 1:24. What is the length of the model in cm?
Answer: 8 cm

Question 16

Instructions: Maria invests £4500 at 1.8% simple interest per year for 3 years. What is the total interest earned?
Answer: £243

Question 17

Instructions: ABC is a straight line, AB = BC = BD, and Angle DAB = 64°. Find the size of angle x.
Answer: x = 52°

Question 18

Part (a): Ben is n years old. Chloe is twice as old as Ben. Dan is 5 years younger than Ben. Find a formula for T (the total of Ben's, Chloe's, and Dan's age) in terms of n.
- Answer: T = 5n + 0
Part (b): Identify the correct equation from the table.
- Answer: 3h + 2 = 14 and x + 7 < 12

Question 19

Instructions: Anna has 500g of butter, 300g of sugar, and 625g of flour. Ingredients for 16 biscuits include 175g butter, 75g sugar, 250g flour. How many biscuits can Anna make?
Answer: 32 biscuits

Question 20

Instructions: A tall building is 110 floors high. The formula for estimated height (based on floors) is H = 4f + 12. The building is really 442 m tall. Seb finds the difference between his estimate and the real height. Show that this difference is less than 5% of the real height.
Answer: Difference is less than 5% of 442m

Question 21

Instructions: Find two errors on the frequency polygon of potato weights given in a table.

Question 22

Instructions: A pencil is 128 mm long, to the nearest mm. Find the error interval.
Answer: 127.5 mm ≤ length < 128.5 mm

Question 23

Instructions: Tom and Adam have 240 stamps in total. The ratio of Tom's stamps to Adam's is 3:7. Tom buys some stamps from Adam and the ratio changes to 3:5. How many stamps does Tom buy from Adam?
Answer: 30 stamps

Question 24

Part (i): Stan surveyed 50 people to find out what gift they prefer. Sports bag is the most popular (17). There are 700 people in the club. How many sports bags should Stan order?
Answer: 238 sports bags
Part (ii): Stan assumed the sample is representative of the whole club. Biased sample (e.g., survey done during a sports event) could lead to inaccurate figures.

Question 25

Part (a): Which graph could represent y = x³?
Answer: Graph D
Part (b): Which graph could represent y = 1/x?
Answer: Graph F

Question 26

Instructions: Two sequences are given: the nth term of the first sequence is 2n² - 1, and the nth term of the second sequence is 40 - n². Show that there is only one number in both sequences.
Answer: 31

Question 27

Instructions: Calculate (3.42 × 10¹⁰ × 7.5) ÷ (7×10^-9 ) in standard form.
Answer: 3.8 × 10¹⁹

Question 28

Instructions: The time to construct a house is represented by 720/n, where n is the number of workers. Ali's company needs 40 days and Hayley's company needs 30 days. How many more workers does Hayley's company need compared to Ali's?
Answer: 12 more workers

Question 29

Instructions: A cube and cuboid have equal surface areas. The dimensions are given: cube side = ?, cuboid dimensions are 6cm, 8cm, 18cm. Is Janet correct that the volume of the cube is equal to the volume of the cuboid?
Answer: Janet is incorrect.

Question 30

Instructions: Draw and label column vectors a = (3, 5) and 2b = ( ?, ?), where b = (1, 2)
- Answer: Draw the vector (3, 5) on the grid. Second vector will be (2, 4) by multiplying vector 'b' by 2.

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Prepare for the GCSE Mathematics Paper 2 (Calculator) exam with this Foundation Tier quiz. This quiz will cover essential topics and exam techniques to enhance your performance. Make sure to practice your calculation and problem-solving skills to achieve the best results.