N5 Applications of Maths · SQA past paper
Josh earns £9 per hour and works 30 hours a week.
His weekly outgoings are £220 a week.
Josh saves all his remaining money.
He books a holiday costing £566.
He will take £800 spending money with him.
Calculate the minimum number of weeks it will take him to save the total amount.
28
A lorry's speedometer is shown.
The lorry's speed is restricted to a maximum of 56 mph.
Use the speedometer to determine this speed in km/h.
90 (Accept answers from 88 to 92 inclusive)
The crowd at a rugby match was made up of home supporters, away supporters and people who were neutral.
were home supporters.
were away supporters.
The remaining people were neutral.
Calculate the fraction of the crowd that were neutral.
Geoffrey shared his savings between his three children, Sophie, Ed and Lucy.
The money was shared in the ratio 7:2:6.
Sophie received £3304.
Calculate how much money Geoffrey gave his three children in total.
£7080
Eddie runs a stall at the school fundraiser.
His game requires two spinners to be spun and allowed to come to rest. The spinners are shown.
A prize is won if one spinner lands on blue or green and the other spinner lands on an even number.
Calculate the probability of NOT winning a prize.
Kenny buys a new fridge.
The original price of the fridge was £650.
A shop is having a sale with 20% off the price of all fridges.
When Kenny goes to the shop, he finds there is an additional 2.5% off the sale price.
Calculate the price Kenny pays for the fridge.
£507
Biscuits are sold in tins in the shape of a cuboid as shown.
The tins need to be packed into boxes with the lid facing upwards.
There are two types of box available with internal measurements as shown.
Determine the maximum number of tins which can be packed. Use your working to justify your answer.
Box A holds 60 tins. Box B holds 56 tins. The maximum number of tins that can be packed is 60.
Janet travelled by car from her home to a meeting.
She arrived at the meeting at 10:15 am.
She travelled 136 miles at an average speed of 40 mph.
During the journey she stopped for 50 minutes for breakfast.
Determine the time Janet left home.
06:01 (or 6:01 am)
A design for a skatepark ramp is shown.
The height of the ramp is 70 cm.
To be suitable the ramp must have a gradient of
Determine whether the ramp is suitable. Use your working to justify your answer.
No, the ramp is not suitable. The calculated gradient is 0.33... which is less than the lower limit of 0.34.
John owns a bike shop and has a team of mechanics who build each new bicycle.
The table lists the tasks that need to be completed and the time required for each task.
| Task | Detail | Preceding task | Time (minutes) |
|---|---|---|---|
| A | attach bicycle to bicycle clamp stand | F | 1 |
| B | grease pedals | A | 1 |
| C | attach wheels | A | 7 |
| D | put bike on display | G, H, I, J | 2 |
| E | grease saddle post | F | 1 |
| F | remove bicycle frame and parts from box | none | 2 |
| G | insert saddle post into frame and tighten | E | 1 |
| H | install headset | A | 5 |
| I | inflate the tyres | C | 4 |
| J | attach pedals | B | 3 |
(a) Complete the diagram below by writing these tasks and times in the boxes.
John thinks that the team of mechanics will have the bike ready within 15 minutes.
(b) Determine if John is correct. Use your working to justify your answer.
(a) Completed diagram. Paths split from F(2). Top path: E(1) → G(1). Bottom paths split from A(1): H(5), C(7) → I(4), and B(1) → J(3). All lead into D(2).
(b) No, John is incorrect. It takes a minimum of 16 minutes to complete the bike (Critical path is F, A, C, I, D: 2 + 1 + 7 + 4 + 2 = 16).
A survey was conducted into favourite pie fillings.
The results were:
Construct a pie chart to illustrate this information.
Pie chart drawn correctly with the following sectors: Apple 160°, Cherry 80°, Lemon 120°.
Laura makes and sells fruit smoothies.
She intends to buy kiwi fruit in bulk.
She considers the following two options:
Determine which option offers the best value for money. Use your working to justify your answer.
Option 1
Senior students are preparing to sell scented candles at the school fair.
Before ordering the candles, they carried out a survey to find out which scent people preferred.
The results of the survey are shown below.
| Preferred scent of candle | Linen | Vanilla | Rose | Cinnamon |
|---|---|---|---|---|
| Percentage of people | 50% | 35% | 10% | 5% |
The students sell 180 candles in total.
They sold 65 vanilla scented candles.
Determine if this is more or less than expected.
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