National 4 Worksheet Pack

1. Find 75% of 120.

2. A pair of trainers costs £40.00 and has 25% off. What is the sale price?

3. A survey result is written as 0.75. Write this as a percentage.

4. In a group of 60, 25% tickets were adult tickets. How many is this?

5. Find 20% of £88.00.

1. Calculate 56 − 26. Give your answer in its simplest form

2. Which is larger: 34 or 24?

3. Simplify 2432.

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

5. Find 35 of 55.

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

2. 8 boxes hold 64 calculators. If each box holds the same number, how many calculators are in 10 boxes?

3. Simplify the ratio 48:72.

4. A recipe uses 197 g of pasta for 4 people. How much pasta is needed for 12 people?

5. A recipe uses flour and oats in the ratio 5:4. How many cups of oats are needed for 25 cups of flour?

1. 4 people share a fixed cost equally and pay £12.00 each. How much would each person pay if 8 people shared the same cost?

2. In this situation, adding more workers means the same job takes less time. Is this direct or inverse proportion?

3. 6 taps fill a tank in 20 minutes. How long would 12 taps take at the same rate?

4. In this situation, working more hours at the same rate means the pay increases. Is this direct or inverse proportion?

5. 6 pencils cost £2.40. How much do 10 pencils cost at the same price each?

1. A class starts at 12:20 and lasts 50 minutes. What time does it finish?

2. A journey starts at 11:05 and ends at 12:40. How long is the journey?

3. A journey takes 35 minutes and must arrive by 17:45. What is the latest starting time?

4. A lesson starts at 15:45 and lasts 40 minutes. What time does it finish?

5. A project starts on day 7 of a month and lasts 19 days. What day of the month does it end on?

1. Which is better value: 5 for £30.00 or 9 for £51.75?

2. Compare 200 g for £0.90 with 300 g for £1.20. Which pack is cheaper per 100 g?

3. A customer pays with £50.00 for shopping costing £29.50. How much change should they get?

4. A bill is shared by 5 people. Meals cost £9.50 each and a £6.00 tip is added. How much should each person pay?

5. A lunch costs £2.70 for a sandwich, £1.50 for a drink and 35p for fruit. What is the total cost?

1. A scattergraph compares temperature and ice cream sales. What type of correlation is shown?

2. Find the range of 29, 8, 23, 9, 19.

3. Find the median of 11, 13, 15, 21, 20.

4. Use the line graph. What was the increase from January to April?

5. A scattergraph compares foot size and weekly screen time. What type of correlation is shown?

1. A bag has 6 red counters and 7 blue counters. What is the probability of picking a red counter?

2. An event has probability 15. How many times would you expect it in 65 trials?

3. The probability of a train being late is 34. Write this as a percentage.

4. A fair six-sided dice is rolled. What is the probability of rolling more than 4?

5. A badge can be made in 5 colours and 4 sizes. How many different badges are possible?

1. Choose the most sensible unit for measuring the length of a classroom.

2. A jug contains 2 litres 250 ml. A bottle adds 330 ml more. What is the total in millilitres?

3. On a plan, 1 cm represents 2 m. What real length is shown by 8 cm?

4. A rectangular garden is 7 m by 6 m. How much edging is needed around the outside?

5. Convert 3.5 litres to millilitres.

1. A rectangle has area 216 cm² and width 12 cm. Find its length.

2. A rectangular classroom is 14 m long and 5 m wide. Find both the perimeter and the area.

3. A floor is 7 m by 2 m. Vinyl costs £8.00 per m². Find the total vinyl cost.

4. A wall is 6 m by 5 m. One tin covers 6 m². How many tins are needed?

5. Find the area of a triangle with base 7 cm and height 16 cm.

1. Use the cuboid diagram. Find the volume.

2. A tank measures 65 cm by 27 cm by 17 cm. How many litres does it hold?

3. A small tank is 28 cm by 16 cm by 25 cm. Find its capacity in litres.

4. A prism has cross-sectional area 26 cm² and length 7 cm. Find its volume.

5. A box is 24 cm long. A shelf is 192 cm long. How many boxes fit in one row?

1. A journey covers 84 km in 3 hours. Find the average speed.

2. A bus leaves at 10:00, travels 97 km, and averages 60 km/h. What time does it arrive?

3. A car travels at 59 km/h for 4 hours. Find the distance travelled.

4. A coach travels 250 miles in 5 hours. Find the average speed in mph.

5. A cyclist travels 99 km at 33 km/h. How long does the journey take?