Percentages — National 5 Applications of Maths Practice Questions

1

Write

\displaystyle 0.35

as:
(a) a fraction in its simplest form
(b) a percentage

Video solution coming soon

2

Calculate

\displaystyle 15\%

of

\displaystyle \pounds 240

without a calculator.

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3

Calculate

\displaystyle 12.5\%

of

\displaystyle 96

without a calculator.

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4

A jacket costs

\displaystyle \pounds 68

.
In a sale it is reduced by

\displaystyle 25\%

.
Calculate the sale price of the jacket.

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5

A test is marked out of

\displaystyle 80

.
A pupil scores

\displaystyle 68

.
Calculate the pupil's score as a percentage.

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6

A painting is bought for

\displaystyle \pounds 250

.
It is later valued at

\displaystyle \pounds 310

.
Calculate the gain as a percentage of the original price.

Video solution coming soon

7

2019 P1 Q6

2 Marks

Write the following values in order from greatest to least.

Justify your answer.

$\displaystyle 0.388$ , $\displaystyle \frac{3}{8}$ , $\displaystyle 38.38\%$ , $\displaystyle 0.39$

8

2019 P1 Q1

3 Marks

Helen makes and sells candles.

These candles should be 22.5 cm tall.

She rejects any candle that is outwith the range of $\displaystyle \pm 2$ mm of this height.

Below are the heights, in centimetres, of 10 candles chosen at random.

22.2, 22.6, 22.5, 22.9, 22.3, 21.6, 22.6, 22.4, 22.7, 22.8

Calculate the percentage of candles that she rejects.

9

2019 P2 Q4

3 Marks

Karen buys and sells silver, gold and platinum. The table shows the price per ounce of each of these metals, on the first trading day of each month, over the last year.

Month	Price of silver ($)	Price of gold ($)	Price of platinum ($)
Jan	15.60	1170	1275
Feb	17.40	1140	1050
Mar	16.50	1210	1100
Apr	17.00	1200	1150
May	16.70	1190	1100
Jun	16.70	1275	1075
Jul	15.60	1175	1100
Aug	14.50	1190	850
Sep	14.60	1140	975
Oct	14.50	1125	1000
Nov	15.60	1195	1125
Dec	16.50	1200	1200

Karen bought 1 ounce of gold on the first trading day in March and sold it on the first trading day in September. Calculate the percentage loss she made. Give your answer to 2 decimal places.

10

2024 P1 Q2

3 Marks

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.