UCAT · Quantitative Reasoning

Calculations from tables (set 2)

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

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All 42 questions

  1. A stall buys scarves and sells them. What is the total profit in pounds?
  2. A bag has a list price of GBP 60 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?
  3. A van travels 200 km. What is the fuel cost of the journey in pounds?
  4. Monthly orders at a bakery: Between which two consecutive months was the percentage increase largest?
  5. Three sizes of cereal are sold. Which size has the lowest price per 100 g?
  6. In a sale all items are 30% off. A coat is now priced at GBP 140. What was its price before the sale?
  7. A share price starts at GBP 200, rises by 25%, and then falls by 25% of its new value. What is the price after both changes?
  8. A cyclist rides two stages of a route. What is the average speed over the whole route?
  9. A worker's pay terms are shown below. What is the total pay for the week in pounds?
  10. Sales (in thousands of units) by region: By what percentage did sales in the South region increase this year?
  11. 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 30,000?
  12. Cement and sand are mixed in the ratio 3:2 by mass. A builder needs 60 kg of mixture. How many kilograms of sand are needed?
  13. The table shows weekly sales (in units) at a shop. What percentage of the total units sold was coffee?
  14. A company's annual revenue (thousands of pounds): By what percentage did revenue fall from 2022 to 2023?
  15. The table shows the number of visitors to a museum on five days. What was the mean number of visitors per day?
  16. A charity has volunteers in two towns. What is the ratio of volunteers in Truro to Bath, in its simplest form?
  17. 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?
  18. A coach driver records one trip. At the same average speed, how many hours would a 225 km journey take?
  19. A stall buys scarves and sells them. What is the total profit in pounds?
  20. A bag has a list price of GBP 40 before VAT. A 25% discount is taken off the list price, and then VAT at 20% is added to the discounted price. What is the final price?
  21. A van travels 200 km. What is the fuel cost of the journey in pounds?
  22. Monthly orders at a bakery: Between which two consecutive months was the percentage increase largest?
  23. Three sizes of cereal are sold. Which size has the lowest price per 100 g?
  24. In a sale all items are 30% off. A coat is now priced at GBP 56. What was its price before the sale?
  25. A share price starts at GBP 400, rises by 20%, and then falls by 20% of its new value. What is the price after both changes?
  26. A cyclist rides two stages of a route. What is the average speed over the whole route?
  27. A worker's pay terms are shown below. What is the total pay for the week in pounds?
  28. Sales (in thousands of units) by region: By what percentage did sales in the North region increase this year?
  29. 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 36,000?
  30. Cement and sand are mixed in the ratio 3:5 by mass. A builder needs 120 kg of mixture. How many kilograms of sand are needed?
  31. The table shows weekly sales (in units) at a shop. What percentage of the total units sold was apples?
  32. A company's annual revenue (thousands of pounds): By what percentage did revenue fall from 2022 to 2023?
  33. The table shows the number of visitors to a museum on five days. What was the mean number of visitors per day?
  34. A charity has volunteers in two towns. What is the ratio of volunteers in Hull to Truro, in its simplest form?
  35. 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?
  36. A coach driver records one trip. At the same average speed, how many hours would a 180 km journey take?
  37. A stall buys scarves and sells them. What is the total profit in pounds?
  38. A bag has a list price of GBP 40 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?
  39. A van travels 400 km. What is the fuel cost of the journey in pounds?
  40. Monthly orders at a bakery: Between which two consecutive months was the percentage increase largest?
  41. Three sizes of cereal are sold. Which size has the lowest price per 100 g?
  42. In a sale all items are 30% off. A coat is now priced at GBP 42. What was its price before the sale?

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