National 5 Worksheet Pack

1. A cafe worker is paid £9.00 per hour and works 28 hours. What is the gross pay?

2. A weekly budget has income £610.00, rent £420.00, food £154.00, and travel £43.00. How much is left?

3. £2300.00 is saved at 3% simple interest for 4 years. Find the interest and the final total.

4. A traveller changes £320.00 into euros at €1.14 for £1.00. A €5 fee is taken after the exchange. How many euros are left?

5. £2400.00 is invested at 5% compound interest for 2 years. What is the final value to the nearest penny?

1. A service costs £130.00 before VAT. A 20% discount is applied, then 20% VAT is added. What is the final price?

2. A small business buys an item for £74.00 and wants 15% profit. What selling price should it use?

3. A bill of £44.00 increases by 20%. What is the new bill?

4. A tablet costs £205.00. It is discounted by 10%. What is the sale price?

5. A coat is sold for £45.00 after a 25% discount. What was the original price?

1. Route A is 48 km and takes 55 minutes. Route B is 39 km and takes 51 minutes. Which route has the higher average speed?

2. A train journey takes 48 minutes. A bus journey takes 63 minutes but costs less. If the fastest option is needed, which should be chosen?

3. A journey starts at 14:45 and takes 2 hours 15 minutes. What time does it finish?

4. A delivery van averages 60 km/h for 2.5 hours. How far does it travel?

5. A pupil arrives at the station at 11:50. The next train leaves at 12:08. How long do they wait?

1. A shelf is labelled 48 cm with a tolerance of ±2 cm. What range of lengths is acceptable?

2. A model is built to a scale of 1:50. The real object is 3.2 m long. How long is the model in cm?

3. A box volume is being calculated. Which unit is appropriate for the final answer?

4. A rectangular garden is 11 m by 12 m. A gate 1.5 m wide will not need fencing. How much fencing is needed?

5. A shelf is labelled 60 cm with a tolerance of ±2 cm. What range of lengths is acceptable?

1. A shop records shoe sizes sold in one hour: 12, 10, 12, 15, 11, 12. What is the mode size?

2. Use the weather line graph. Which conclusion is best supported?

3. A pie chart shows that 25% of 240 pupils chose the bus for travel to school. How many pupils chose the bus?

4. A scattergraph shows a positive correlation between revision hours and test score. Use the line of best fit to estimate the score for 6 hours of revision.

5. Use the household bills chart. Which comparison is correct?

1. The probability that a bus is late is 0.3. What is the probability that it is not late?

2. Which is more likely: an event with probability 0.75 or one with probability 34?

3. A probability is 0.25. Which likelihood word best describes it?

4. A fair spinner has 4 equal colours and a second fair spinner has 5 equal symbols. What is the probability of getting the named colour and the named symbol?

5. The probability that a bus is late is 0.2. What is the probability that it is not late?

1. A line graph shows totals across the week. Between which two days is the largest increase?

2. On a cost graph, Plan A increases by £15.00 for each month and Plan B increases by £18.00 for each month. Which plan has the steeper graph?

3. A scattergraph compares weekly practice hours with a score. Describe the correlation.

4. Use the line of best fit to estimate the score for 3 hours of practice.

5. A scattergraph has one point far below the upward trend. What effect can this outlier have on the interpretation?

1. One ticket costs £6.00. A pack of 4 costs £19.00. Which is cheaper for 4 tickets?

2. A trip budget is £80.00. Food costs £18.00, travel costs £9.00, and the activity costs £48.00. Is the trip within budget?

3. A group activity has a fixed hire charge of £47.00 plus £6.00 per person. There are 8 people. What is the total cost?

4. One ticket costs £7.00. A pack of 4 costs £25.00. Which is cheaper for 4 tickets?

5. A trip budget is £52.00. Food costs £23.00, travel costs £8.00, and the activity costs £10.00. Is the trip within budget?