N5 Applications of Maths · SQA past paper
Ella's temperature on Wednesday was
Ella's temperature on Thursday was
Mark both temperatures on the thermometer and determine on which day she had the higher temperature.
Mark 37.5 on the °C scale and 98 on the °F scale.
98 °F is about 36.7 °C, which is lower than 37.5 °C, so her temperature was higher on Wednesday.
Hamish is doing scientific research involving foals (baby horses).
For his research, Hamish must use foals that weigh 49.5 kg ± 2 kg.
Below are the weights of 20 foals, in kilograms.
| 49.5 | 46.9 | 47.9 | 51.6 | 49.7 |
| 49.4 | 51.5 | 47.0 | 48.6 | 50.6 |
| 51.8 | 48.8 | 48.0 | 47.5 | 50.0 |
| 51.4 | 47.4 | 51.0 | 49.1 | 47.6 |
Calculate the percentage of foals that Hamish cannot use for his research.
25%
Lee is saving up to buy a laptop costing £470.
He earns £11.50 per hour and works 30 hours each week. Lee is paid weekly.
He pays £20.25 in tax and £12.35 in National Insurance each week.
He spends £42.40 each week on rail fares.
Lee saves of his remaining money towards the laptop.
Calculate how many weeks it will take Lee to save enough money to buy the laptop.
6 weeks
Stephen has built a new ramp.
Calculate the gradient of the ramp.
Give your answer as a fraction in its simplest form.
The number of films Megan downloaded each month for a year is shown.
34 19 22 10 13 38 9 12 26 7 19 21
(a) (i) For this data, calculate: the median, the lower quartile, the upper quartile.
(ii) Construct a boxplot for this data.
(b) (i) Calculate the interquartile range for the number of films Megan downloaded.
Tommy also recorded the number of films he downloaded each month.
The interquartile range for the number of films Tommy downloaded is 10.
(ii) Make one valid comment comparing the number of films Megan and Tommy downloaded.
(a) (i) Median = 19, Lower quartile () = 11, Upper quartile () = 24
(ii) Boxplot correctly drawn with endpoints at 7 and 38, and a box connecting 11, 19, and 24.
(b) (i) 13
(ii) The number of films Tommy downloaded was more consistent (or Megan's downloads were more varied).
Jamie bought 2 identical cakes for his birthday.
His friends ate of the first cake.
His family ate of the second cake.
Calculate the total amount of cake left over.
Give your answer as a fraction of a cake.
A container consists of a cuboid and a triangular prism.
Calculate the volume of the container.
Give your answer in litres.
13.5 litres
Tabitha is a van driver for a supermarket that provides home deliveries.
Orders are packed into boxes for home delivery to customers.
The dimensions of each box and the internal dimensions of the van are shown in the diagrams.
All boxes must be aligned in the same direction.
Calculate the maximum number of boxes that will fit in the van.
330 boxes
A banner is being edged with ribbon.
It is in the shape of a rectangle and two quarter circles.
Calculate the length of ribbon needed to edge the banner.
Use
422.8 cm
In 2022 and 2023 all S4 pupils at Lowgrove Academy achieved a Numeracy qualification.
The results for S4 pupils in 2022 are shown in the pie chart.
The results for S4 pupils in 2023 are shown in the table.
| Qualification | Number of pupils |
|---|---|
| National 3 | 18 |
| National 4 | 52 |
| National 5 | 50 |
Determine if there has been an increase in the proportion of pupils achieving National 5 Numeracy.
Use your working to justify your answer.
Yes, there has been an increase, with evidence showing the values in comparable form (e.g., from in 2022 to in 2023, or 0.4 increasing to 0.416...).
A helicopter was hired to drop passengers off at two separate locations.
It flew 60 km on a bearing of to the first location.
It then flew 45 km on a bearing of to the second location.
(a) Construct a scale drawing to illustrate this journey.
Use a scale of 1 cm : 10 km.
The helicopter then returns to the start from the second location.
(b) Use your scale drawing to determine the distance and bearing of the start from the second location.
(a) Scale drawing showing a 6 cm line on a bearing of , followed by a 4.5 cm line on a bearing of
(b) Bearing: (accept ), Distance: 84 km (accept km).