CfE Maths Hub

Question 1

FinanceCore

A bill is currently £730.00. It rises with inflation at 5% per year for 5 years. Estimate the new bill.

£564.86£931.69£755.00£766.50

Question 2

StatisticsCore

Two groups have similar mean scores. Group A has mean 63 and standard deviation 3.8. Group B has mean 62 and standard deviation 6.6. Which group is more consistent?

Group summaries
Group	Mean	Standard deviation
A	63	3.8
B	62	6.6

The groups cannot be compared because the means are closeGroup B is more consistent because its standard deviation is higherGroup A is more consistent because its standard deviation is lowerGroup A is better because its mean is automatically higher

Question 3

ModellingCore

A ticket income model is C = 31 + 6x. What does the 6 mean in context?

x must be 6The starting cost is £6.00The cost is always £37.00The cost increases by £6.00 for each extra unit of x

Question 4

PlanningCore

Using the precedence table, identify the critical path and project duration.

Task durations and dependencies
Task	Duration	Depends on
A	4 days	-
B	3 days	-
C	6 days	A
D	5 days	B and C

B-D, 8 daysA-B-D, 12 daysA-C-D, 15 daysC-D, 11 days

Question 5

SpreadsheetCore

A spreadsheet contains paired numerical data for advertising spend and sales. Which chart should be used to examine the relationship?

Scatter graphStacked column chartPictogramPie chart

Question 6

RStudioCore

RStudio gives correlation r = 0.71 for two variables. Which interpretation is best?

The variables are definitely unrelatedThe result proves one variable causes the otherThere is a negative associationThere is a positive association, but this does not prove causation

Question 7

StatisticsCore

Two groups have similar mean scores. Group A: mean 63, standard deviation 2.8. Group B: mean 61, standard deviation 4.9. Which interpretation is best?

Summary statistics
Group	Mean	Standard deviation
A	63	2.8
B	61	4.9

The means prove every Group A score is higherStandard deviation describes the centre of the dataGroup A is more consistent because its standard deviation is smallerGroup B is more consistent because its standard deviation is larger

Question 8

PlanningCore

A project has 30% chance of profit £3,500 and otherwise profit £1,200. Find the expected profit.

£840.00£4,700.00£1,050.00£1,890.00

Question 9

StatisticsCore

Two groups have similar mean scores. Group A has mean 56 and standard deviation 3.1. Group B has mean 58 and standard deviation 5.9. Which group is more consistent?

Group summaries
Group	Mean	Standard deviation
A	56	3.1
B	58	5.9

The groups cannot be compared because the means are closeGroup A is more consistent because its standard deviation is lowerGroup B is more consistent because its standard deviation is higherGroup A is better because its mean is automatically higher

Question 10

StatisticsCore

A line of best fit for weekly demand is y = 3x + 17, where x is advertising spend in hundreds of pounds. Estimate demand when x = 11.

50533133

Question 11

PlanningCore

A plan is delayed because all later tasks need a specialist who is only available 2 days per week. What term best describes this issue?

MedianPositive correlationResource constraintCompound interest

Question 12

FinanceCore

£4,200 is invested for 4 years at 3.2% compound interest. What is the final value to the nearest penny?

£4,737.60£4,763.96£4,212.80£4,334.40

Mixed revision

Generated balanced mixed revision

A bill is currently £730.00. It rises with inflation at 5% per year for 5 years. Estimate the new bill.

Two groups have similar mean scores. Group A has mean 63 and standard deviation 3.8. Group B has mean 62 and standard deviation 6.6. Which group is more consistent?

A ticket income model is C = 31 + 6x. What does the 6 mean in context?

Using the precedence table, identify the critical path and project duration.

A spreadsheet contains paired numerical data for advertising spend and sales. Which chart should be used to examine the relationship?

RStudio gives correlation r = 0.71 for two variables. Which interpretation is best?

Two groups have similar mean scores. Group A: mean 63, standard deviation 2.8. Group B: mean 61, standard deviation 4.9. Which interpretation is best?

A project has 30% chance of profit £3,500 and otherwise profit £1,200. Find the expected profit.

Two groups have similar mean scores. Group A has mean 56 and standard deviation 3.1. Group B has mean 58 and standard deviation 5.9. Which group is more consistent?

A line of best fit for weekly demand is y = 3x + 17, where x is advertising spend in hundreds of pounds. Estimate demand when x = 11.

A plan is delayed because all later tasks need a specialist who is only available 2 days per week. What term best describes this issue?

£4,200 is invested for 4 years at 3.2% compound interest. What is the final value to the nearest penny?

Quick applied check

Full mixed revision

Data and modelling challenge

Decision-making and planning