Higher Applications Question Paper Practice

Question 1

ModellingCore2 marks

An equipment value model is y = 36 + 7x. Estimate y when x = 16.

Your answer

Maths tools

Question 2

FinanceCore2 marks

A bill is currently £340.00. It rises with inflation at 2.5% per year for 3 years. Estimate the new bill.

£347.50£315.13£366.14£348.50

Question 3

RStudioChallenge3 marksStatistical software

RStudio gives cor(x, y) = 0.76 for distance travelled and fuel used. Which written conclusion is best?

Write your response before revealing the model answer

Question 4

FinanceChallenge3 marks

Compare two 5-year savings options for a £4,800 deposit. Option A pays 4.2% compound interest. Option B adds a £171 opening bonus then pays 3.6% compound interest. Which gives more?

Write your response before revealing the model answer

Question 5

SpreadsheetChallenge3 marksSpreadsheet

A spreadsheet trendline shows R² = 0.76. What does this value describe?

How much of the variation in the response is explained by the fitted modelProof that the relationship is causalThe predicted response when x = 2The gradient of the trendline

Question 6

PlanningChallenge3 marks

A project must cost at most £1,200, finish within 7 days and provide capacity for at least 80 people. Which option satisfies every constraint?

Project options
Option	Cost	Duration	Capacity
A	£1,080	8 days	70
B	£1,280	6 days	90
C	£1,180	7 days	85

Write your response before revealing the model answer

Question 7

PlanningChallenge3 marks

A risk has probability 25% and impact £5,300. A mitigation costs £400. Compare mitigation with expected cost.

Mitigation is always justified because the impact is £5,300Ignore the probability and choose the smaller cash amountExpected cost is £5,700Mitigation is justified by £925.00

Question 8

FinanceCore2 marks

A loan balance is £3,300. Monthly interest is 0.8% and the payment is £130. Find the closing balance after this month.

£3,326.40£3,143.60£3,170.00£3,196.40

Question 9

FinanceChallenge3 marks

£4,300 earns 3% in year 1 and 4.5% in year 2. Find the accumulated value.

£4,695.71£4,628.31£4,622.50£4,307.50

Question 10

FinanceCore2 marks

£2,700 is invested for 7 years at 3.6% compound interest. What is the final value to the nearest penny?

Your answer

Maths tools

Question 11

ModellingChallenge3 marks

Speed is modelled by v = dt. Distance may have up to 4% relative error and time up to 4%. Estimate the maximum relative error in v.

0%8%4%16%

Question 12

StatisticsCore2 marks

For a test with significance level 5%, p = 0.04. Is the result statistically significant?

There is not enough information to compare p and αOnly if the sample mean is zeroYesNo

Question 13

FinanceChallenge3 marks

A £5,200 loan allows a 3-month repayment holiday. Interest of 1% is added monthly and no payments are made. Find the balance after the holiday.

£5,357.57£5,045.55£5,203.00£5,356.00

Question 14

StatisticsCore2 marks

A hypothesis test gives p = 0.120 at the 5% significance level. What is the correct decision?

Do not reject the null hypothesisReject the null hypothesisAccept both hypothesesRepeat until p = 0

Question 15

StatisticsChallenge3 marks

A study finds that pupils attending more optional tutorials achieve higher marks. Which explanation identifies a possible confounding variable?

Write your response before revealing the model answer

Question 16

FinanceChallenge3 marks

A saver pays £340 now, then increases the annual payment by £50 for each of the next two years. Interest is 2% per year. Find the value immediately after the third payment.

Your answer

Maths tools

Question 17

StatisticsSupport1 mark

A box plot has lower quartile 30 and upper quartile 42. What is the interquartile range?

Your answer

Maths tools

Question 18

ModellingCore2 marks

A linear model is used to predict event income for the next year. Which assumption is being made?

Write your response before revealing the model answer

Question 19

PlanningCore2 marks

Task A takes 7 days. Tasks B (7 days) and C (4 days) both start after A and run in parallel. The project ends when both finish. What is the earliest project duration?

Your answer

Maths tools

Question 20

ModellingSupport1 mark

A measured length must be 66 cm with tolerance ±2.5 cm. Which interval is acceptable?

63.5 cm to 68.5 cm63.5 cm to 66 cm61 cm to 71 cm66 cm to 68.5 cm

Higher Applications question paper practice

How the current assessment works

Original assessment-aware practice set

An equipment value model is y = 36 + 7x. Estimate y when x = 16.

A bill is currently £340.00. It rises with inflation at 2.5% per year for 3 years. Estimate the new bill.

RStudio gives cor(x, y) = 0.76 for distance travelled and fuel used. Which written conclusion is best?

Compare two 5-year savings options for a £4,800 deposit. Option A pays 4.2% compound interest. Option B adds a £171 opening bonus then pays 3.6% compound interest. Which gives more?

A spreadsheet trendline shows R² = 0.76. What does this value describe?

A project must cost at most £1,200, finish within 7 days and provide capacity for at least 80 people. Which option satisfies every constraint?

A risk has probability 25% and impact £5,300. A mitigation costs £400. Compare mitigation with expected cost.

A loan balance is £3,300. Monthly interest is 0.8% and the payment is £130. Find the closing balance after this month.

£4,300 earns 3% in year 1 and 4.5% in year 2. Find the accumulated value.

£2,700 is invested for 7 years at 3.6% compound interest. What is the final value to the nearest penny?

Speed is modelled by v = dt. Distance may have up to 4% relative error and time up to 4%. Estimate the maximum relative error in v.

For a test with significance level 5%, p = 0.04. Is the result statistically significant?

A £5,200 loan allows a 3-month repayment holiday. Interest of 1% is added monthly and no payments are made. Find the balance after the holiday.

A hypothesis test gives p = 0.120 at the 5% significance level. What is the correct decision?

A study finds that pupils attending more optional tutorials achieve higher marks. Which explanation identifies a possible confounding variable?

A saver pays £340 now, then increases the annual payment by £50 for each of the next two years. Interest is 2% per year. Find the value immediately after the third payment.

A box plot has lower quartile 30 and upper quartile 42. What is the interquartile range?

A linear model is used to predict event income for the next year. Which assumption is being made?

Task A takes 7 days. Tasks B (7 days) and C (4 days) both start after A and run in parallel. The project ends when both finish. What is the earliest project duration?

A measured length must be 66 cm with tolerance ±2.5 cm. Which interval is acceptable?

Statistical project