Level 3 Mathematical Studies - Paper 1 & Paper 2C - January 2025 Version 3.0 - 1350

Oct 20, 2026

Updated question exemplars for Level 3 Mathematical Studies (Paper 1 & Paper 2C), January 2025 version 3.0. Includes a sampling and proportions problem where Rafiq selects 75 students using equal counts by year group, followed by an identification of the sampling method and analysis of advantage/disadvantage. Also covers student loan growth with formula selection and repayment timing, plus a playground slide physics task using motion time, speed graphs, acceleration description, and safety-condition checking.

LanguageEnglish

CategoryExam

FormatPDF

Pages16

Reading Time40 min

AccessFree to download

Updated Question Exemplars

Level 3 Mathematical Studies 1350

Paper 1 & Paper 2C

Question 1: Sampling from year groups

Question 2: Student loan salary growth and repayments

Question 3: Playground slide motion and safety conditions

Updated Question Exemplars Level 3 Mathematical Studies 1350 Paper 1 & Paper 2C January 2025 Version 3.0 1350/1 Before (Q1 June 2023): 1 Rafiq and Ellen are doing surveys about favourite school lessons. They each want to take a sample of 75 students from their school. The table shows the number of students in each year group. | Year 7 | Year 8 | Year 9 | Year 10 | Year 11 | | --- | --- | --- | --- | --- | | 216 | 203 | 163 | 174 | 144 | 1 (a) To get his sample of 75, Rafiq asks 15 students from each of the five year groups. What is the name of this sampling method? [1 mark] 1 (b) Give one advantage and one disadvantage of Rafiq’s sampling method. [2 marks] Advantage Disadvantage 1 (c) 1 (d) Ellen decides that the number in her sample from each year group should be in proportion to the total number of students in that group. What is the name of this sampling method? [1 mark] There are 900 students in the school. How many more Year 7 students than Year 11 students should Ellen have in her sample? [2 marks] After: 1 Rafiq is doing a survey about favourite school lessons. He wants to take a sample of 75 students from his school. The table shows the number of students in each year group. | Year 7 | Year 8 | Year 9 | Year 10 | Year 11 | | --- | --- | --- | --- | --- | | 216 | 203 | 163 | 174 | 144 | 1 (a) Rafiq asks 15 students from each of the five year groups. What is the name of this sampling method? [1 mark] 1 (b) Give one advantage and one disadvantage of Rafiq’s sampling method. [2 marks] Advantage Disadvantage 1 (c) Name a more appropriate sampling method Rafiq could use and describe how he would obtain his sample. [3 marks] Before (Q2 June 2019) Use Student loans from the preliminary material. 2 Andrew started university in September 2015 and took out a student loan. He graduated from university in July 2018 and started work with an annual salary of £18 000. He receives a pay rise of 5% every January, and an inflationary increase of 2% every April. The spreadsheet shows some information about his salary. | | A | B | C | | --- | --- | --- | --- | | 1 | 2018 | July | 18 000.00 | | 2 | 2019 | Jan | 18 900.00 | | 3 | 2019 | April | 19 278.00 | | 4 | 2020 | Jan | 20 241.90 | | 5 | 2020 | April | | | 6 | 2021 | Jan | | | 7 | 2021 | April | | 2(a) What formula would give the correct value for cell C4? Circle your answer. [1 mark] =C3*1 .5 =C3*1 .2 =C3*1 .02 =C3*1 .05 2(b) Complete the spreadsheet. Give each value correct to the nearest penny. [2 marks] 2 (c) In which month and year will Andrew have to start paying back his student loan? [1 mark] 2 (d) Work out Andrew’s first month’s student loan repayment. [4 marks] After: Use Student loans from the preliminary material. 2 Andrew started university in September 2015 and took out a student loan. He graduated from university in July 2018 and started work with an annual salary of £18 000. He receives a pay rise of 5% every January, and an inflationary increase of 2% every April. The spreadsheet shows some information about his salary. | | A | B | C | | --- | --- | --- | --- | | 1 | 2018 | July | 18 000.00 | | 2 | 2019 | Jan | 18 900.00 | | 3 | 2019 | April | 19 278.00 | | 4 | 2020 | Jan | 20 241.90 | 2(a) What formula would give the correct value for cell C4? Circle your answer. [1 mark] =C3*1 .5 =C3*1 .2 =C3*1 .02 =C3*1 .05 2 (b) Work out the month and year, and the amount, of Andrew’s first month’s student loan repayment. [7 marks] 1350/2C Before (Q3 June 2023): 3 Playground slides are designed so that children slow down safely at the end of the slide on a horizontal run-out. The diagram shows the dimensions important in slide design. h is the height of the slide. l is the slope length of the slide. r is the run-out. 3 (a) A slide is designed with slope length l = 3 m On this slide a child has an average speed of 2.04 ms–1

FAQs

What sampling method is used when Rafiq takes 15 students from each of five year groups?

Rafiq’s method is based on taking an equal number from each year group. The question asks for the sampling method name and for the advantage and disadvantage of that approach.

How do you determine the sampling method for Ellen’s approach based on year-group proportions?

Ellen chooses the sample size from each year group in proportion to the total number of students in that group. The question asks for the sampling method name and how much larger her Year 7 share should be compared with Year 11.

In Question 3, how are time and acceleration obtained from the speed-time information?

The slope time is found using the average speed and the slope length. Then the graph is used to estimate how long the child travels at more than 2 m/s, followed by describing acceleration on the slope and on the run-out and checking which design fails safety conditions.

Oct 20, 2026

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