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National 3 Worksheet Pack

Build a printable pack of National 3 Applications of Mathematics questions across the topics you choose. Set the level, add pupil fields, and print a separate answer sheet when needed.

Printable worksheet pack

National 3 Applications of Mathematics Worksheet Pack

National 3 Applications of Mathematics mixed worksheet pack. Questions are grouped by topic for lesson planning and class evidence.

Name:Date:Class:

Percentages

  1. 1. Find 50% of 60.

  2. 2. 10% of 40 stickers are counted. How many stickers is this?

  3. 3. Estimate 25 + 23 by rounding each number to the nearest 10 first.

  4. 4. A value rises from 70 to 84. Find the percentage increase.

  5. 5. In a survey, 4 out of 5 pupils chose art. What percentage chose art?

Fractions

  1. 1. Which is larger: 24 or 410?

  2. 2. Simplify 820.

  3. 3. Find 25 of 30.

  4. 4. Calculate 24 + 45. Give your answer in its simplest form

  5. 5. Calculate 38 + 48. Give your answer in its simplest form

Ratio

  1. 1. A map scale is 1 cm:5 km. What real distance is shown by 13 cm?

  2. 2. 12 counters are shared in the ratio 4:2. How many counters are in each share?

  3. 3. Share £108.00 in the ratio 1:8.

  4. 4. The ratio of red counters to blue counters is 6:8. There are 60 red counters. How many blue counters are there?

  5. 5. A recipe uses 350 g of flour. How much flour is needed to double the recipe?

Time

  1. 1. A training plan lasts 35 days. How many weeks is this?

  2. 2. A shift starts at 23:50 and finishes at 05:45 the next morning. How long is the shift?

  3. 3. A film starts at 08:15 and lasts 1 hour 30 minutes. What time does it finish?

  4. 4. A journey starts at 13:20 and ends at 14:15. How long is the journey?

  5. 5. A project starts on day 10 of a month and lasts 14 days. What day of the month does it end on?

Money

  1. 1. A customer pays with £30.00 for shopping costing £17.50. How much change should they get?

  2. 2. A weekly budget has £310.00 income, £60.00 rent, £70.00 food, and £40.00 travel. How much is left?

  3. 3. A pupil has £25.00. A snack costs £1.25, a drink costs £1.00 and travel costs £3.50. How much is left or short?

  4. 4. Round £9.49 to the nearest pound.

  5. 5. Which price is cheaper: £4.56 or £5.06?

Tables and Graphs

  1. 1. Use the ticket table. How many tickets were sold altogether?

  2. 2. A simple line graph shows the value was 4 on Monday and 7 on Friday. Did the value increase, decrease or stay the same?

  3. 3. Use the frequency table. Which day has the most?

  4. 4. The pictogram shows favourite fruit. Which fruit has the most votes?

  5. 5. Use the drinks bar chart. Which drink was least popular?

Probability

  1. 1. There are 5 winning tickets in a set of 11. What is the probability of not picking a winning ticket?

  2. 2. A probability scale marker is at 0. Which word best describes the chance?

  3. 3. An event has probability 15. How many times would you expect it in 25 trials?

  4. 4. Use the spinner table. Which colour is more likely?

  5. 5. A bag has 5 red counters and 3 blue counters. What is the probability of picking blue?

Measurement

  1. 1. Convert 688 cm to metres.

  2. 2. A length is measured as 31.8 cm. Round this to the nearest centimetre.

  3. 3. Choose a sensible tool for measuring the mass of a bag of potatoes.

  4. 4. Choose the most sensible unit for measuring the amount of water in a bottle.

  5. 5. A rectangle is 20 cm long and 12 cm wide. Find its perimeter.

Area

  1. 1. Find the area of a rectangle measuring 9 cm by 3 cm.

  2. 2. Find the area of a parallelogram with base 11 cm and perpendicular height 4 cm.

  3. 3. A compound shape is made from two rectangles with areas 30 cm² and 64 cm². Find the total area.

  4. 4. A rectangular garden is 4 m long and 6 m wide. Find the perimeter.

  5. 5. A wall is 3 m by 4 m. One tin covers 4 m². How many tins are needed?

Volume

  1. 1. A cuboid has volume 672 cm³, length 12 cm, and width 7 cm. Find its height.

  2. 2. A jug has 250 ml of juice. Another 500 ml is added. How much juice is there altogether?

  3. 3. Find the volume of a cube with side length 6 cm.

  4. 4. A tank measures 79 cm by 44 cm by 31 cm. How many litres does it hold?

  5. 5. A container holds 3 litres. What is this capacity in cubic centimetres?

Speed, Distance and Time

  1. 1. A van travels at 60 km/h for 1 hour. How far does it travel?

  2. 2. Journey A is 76 km in 3 hours. Journey B is 82 km in 2 hours. Which has the greater average speed?

  3. 3. A bus travels at 30 km/h for 30 minutes. How far does it travel?

  4. 4. A journey covers 236 km in 4 hours. Find the average speed.

  5. 5. A journey is 120 km and takes 4 hours. What is the average speed?

Teacher answer sheet

National 3 Applications of Mathematics Worksheet Pack Answers

Answers are grouped by topic to match the printable worksheet pack.

Percentages

  1. 1. 30
  2. 2. 4 stickers
  3. 3. 50
  4. 4. 20%
  5. 5. 80%

Fractions

  1. 1. 24
  2. 2. 25
  3. 3. 12
  4. 4. 1310
  5. 5. 78

Ratio

  1. 1. 65 km
  2. 2. 8 and 4
  3. 3. £12.00 and £96.00
  4. 4. 80
  5. 5. 700 g

Time

  1. 1. 5 weeks
  2. 2. 5 hours 55 minutes
  3. 3. 09:45
  4. 4. 55 minutes
  5. 5. 24

Money

  1. 1. £12.50
  2. 2. £140.00
  3. 3. £19.25 left
  4. 4. £9.00
  5. 5. £4.56

Tables and Graphs

  1. 1. 67
  2. 2. It increased
  3. 3. Tuesday
  4. 4. Bananas
  5. 5. Juice

Probability

  1. 1. 611
  2. 2. Impossible
  3. 3. 5
  4. 4. Red is more likely
  5. 5. 38

Measurement

  1. 1. 6.88 m
  2. 2. 32 cm
  3. 3. scales
  4. 4. millilitres
  5. 5. 64 cm

Area

  1. 1. 27 cm²
  2. 2. 44 cm²
  3. 3. 94 cm²
  4. 4. 20 m
  5. 5. 3 tins

Volume

  1. 1. 8 cm
  2. 2. 750 ml
  3. 3. 216 cm³
  4. 4. 107.8 litres
  5. 5. 3000 cm³

Speed, Distance and Time

  1. 1. 60 km
  2. 2. Journey B
  3. 3. 15 km
  4. 4. 59 km/h
  5. 5. 30 km/h