UCAT · Quantitative Reasoning

Calculations from tables (set 1)

42 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 42 questions

  1. The table shows weekly sales (in units) at a shop. What percentage of the total units sold was butter?
  2. A company's annual revenue (thousands of pounds): By what percentage did revenue fall from 2022 to 2023?
  3. The table shows the number of visitors to a museum on five days. What was the mean number of visitors per day?
  4. A charity has volunteers in two towns. What is the ratio of volunteers in Hull to Leeds, in its simplest form?
  5. A traveller budgets in pounds (GBP) but pays in dollars. The exchange rate is 1 GBP = 1.50 dollars. What is the total cost in dollars?
  6. A coach driver records one trip. At the same average speed, how many hours would a 90 km journey take?
  7. A stall buys scarves and sells them. What is the total profit in pounds?
  8. A bag has a list price of GBP 250 before VAT. A 30% discount is taken off the list price, and then VAT at 20% is added to the discounted price. What is the final price?
  9. A van travels 500 km. What is the fuel cost of the journey in pounds?
  10. Monthly orders at a bakery: Between which two consecutive months was the percentage increase largest?
  11. Three sizes of cereal are sold. Which size has the lowest price per 100 g?
  12. In a sale all items are 20% off. A coat is now priced at GBP 64. What was its price before the sale?
  13. A share price starts at GBP 250, rises by 20%, and then falls by 20% of its new value. What is the price after both changes?
  14. A cyclist rides two stages of a route. What is the average speed over the whole route?
  15. A worker's pay terms are shown below. What is the total pay for the week in pounds?
  16. Sales (in thousands of units) by region: By what percentage did sales in the North region increase this year?
  17. In a simple tax system, the first GBP 12,000 of annual income is tax-free and the rest is taxed at 20%. How much tax is paid on an income of GBP 20,000?
  18. Cement and sand are mixed in the ratio 3:2 by mass. A builder needs 40 kg of mixture. How many kilograms of sand are needed?
  19. The table shows weekly sales (in units) at a shop. What percentage of the total units sold was butter?
  20. A company's annual revenue (thousands of pounds): By what percentage did revenue fall from 2022 to 2023?
  21. The table shows the number of visitors to a museum on five days. What was the mean number of visitors per day?
  22. A charity has volunteers in two towns. What is the ratio of volunteers in Bath to Derby, in its simplest form?
  23. A traveller budgets in pounds (GBP) but pays in dollars. The exchange rate is 1 GBP = 1.40 dollars. What is the total cost in dollars?
  24. A coach driver records one trip. At the same average speed, how many hours would a 225 km journey take?
  25. A stall buys scarves and sells them. What is the total profit in pounds?
  26. A bag has a list price of GBP 80 before VAT. A 20% discount is taken off the list price, and then VAT at 20% is added to the discounted price. What is the final price?
  27. A van travels 300 km. What is the fuel cost of the journey in pounds?
  28. Monthly orders at a bakery: Between which two consecutive months was the percentage increase largest?
  29. Three sizes of cereal are sold. Which size has the lowest price per 100 g?
  30. In a sale all items are 25% off. A coat is now priced at GBP 30. What was its price before the sale?
  31. A share price starts at GBP 500, rises by 50%, and then falls by 10% of its new value. What is the price after both changes?
  32. A cyclist rides two stages of a route. What is the average speed over the whole route?
  33. A worker's pay terms are shown below. What is the total pay for the week in pounds?
  34. Sales (in thousands of units) by region: By what percentage did sales in the South region increase this year?
  35. In a simple tax system, the first GBP 12,500 of annual income is tax-free and the rest is taxed at 20%. How much tax is paid on an income of GBP 32,000?
  36. Cement and sand are mixed in the ratio 2:3 by mass. A builder needs 120 kg of mixture. How many kilograms of sand are needed?
  37. The table shows weekly sales (in units) at a shop. What percentage of the total units sold was eggs?
  38. A company's annual revenue (thousands of pounds): By what percentage did revenue fall from 2022 to 2023?
  39. The table shows the number of visitors to a museum on five days. What was the mean number of visitors per day?
  40. A charity has volunteers in two towns. What is the ratio of volunteers in York to Hull, in its simplest form?
  41. A traveller budgets in pounds (GBP) but pays in euros. The exchange rate is 1 GBP = 1.15 euros. What is the total cost in euros?
  42. A coach driver records one trip. At the same average speed, how many hours would a 180 km journey take?

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