Maths Question Paper Set 2, 1F (2023 Practice Papers)
GCSE Maths Practice Paper - Set 2, 1F QP.pdf
Note: Question 2 was included, but assumed to be a typo.
Topics covered
Across 22 marks (27.5%):
- Estimations,
- Square numbers,
- Probability,
- Geometry: Pythagoras’ Theorem, distance-time along perimeters, areas of inversely compound shapes involving .
Questions
Question 15a
The total of two square numbers is
What are the two square numbers?
[2 marks]
Question 18c
Brian changes his car every eight years, last changing it in 2022.
In any leap year, the number made by the last two digits is divisible by four. For example, and were leap years because and are divisible by four.
Give a reason why Brian will never change his car in a leap year.
[1 mark]
Question 19b
Here is a fair five sided spinner.
Work out the probability of scoring a total of with two spins.
[3 marks]
Question 20b
The diagram shows distances by road between four cities.
Eve drove the miles from Cardiff to Leeds. She drove the first miles at mph then the remaining distance at mph.
Find the total time that Eve was driving.
[4 marks]
Question 23
Two identical circles just fit inside a rectangle as shown.
Work out the area of the shaded section. Give your answer in terms of .
[4 marks]
Question 24
Bag A contains green balls and yellow balls. Bag B contains green balls and yellow balls.
It’s more likely that a green ball is chosen from Bag A than Bag B because there are more green balls in Bag A than Bag B.
- John
Is John correct? Give a reason for your answer.
[3 marks]
Question 26
Adele works out the answer to . She says the answer is positive.
Is Adele correct? You must show your working.
[2 marks]
Question 29
Sarah has a circular piece of card with a diameter . She wants to cut a rectangle with side-lengths and .
Use Pythagoras’ theorem to show that she can cut the rectangle from the circular card.
[3 marks]