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Numerical Reasoning Test Practice Course: Percentages, percentage change and ratios

Quiz thématique sans limite de temps : 18 questions sur Percentages, percentage change and ratios, avec une explication après chaque réponse. Les questions et les réponses sont mélangées à chaque fois.

  • Formation
  • Canada
  • 87 questions
  • Vérifié le 13 octobre 2026
  • Vérifié (faits) le 13 octobre 2026
Commencez par les leçonsNumerical Reasoning Course: Lessons : environ 180 minutes de lecture. Chaque question du test est traitée dans les leçons.

Quiz thématique 2 : Percentages, percentage change and ratios

  1. Question 1 sur 18

    What is 15% of $240?
    Voir la réponse

    Réponse: C. $36

    15% = 0.15. 0.15 × 240 = $36.

  2. Question 2 sur 18

    Of 60 staff, 45 have finished their training. What percentage have finished?
    Voir la réponse

    Réponse: A. 75%

    Part ÷ whole × 100: 45 ÷ 60 × 100 = 75%.

  3. Question 3 sur 18

    A product costs $80. The price goes up by 10%. What is the new price?
    Voir la réponse

    Réponse: A. $88

    10% of $80 is $8. New price = 80 + 8 = $88. You can also multiply by 1.10.

  4. Question 4 sur 18

    Weekly orders went from 400 to 460. What is the percentage increase?
    Voir la réponse

    Réponse: D. 15%

    Change ÷ starting value × 100: (460 − 400) ÷ 400 × 100 = 15%. Always divide by the starting (base) value.

  5. Question 5 sur 18

    Overtime fell from 120 hours to 90 hours. What is the percentage decrease?
    Voir la réponse

    Réponse: A. 25%

    Decrease ÷ starting value × 100: 30 ÷ 120 × 100 = 25%. 33.3% comes from dividing by the new value.

  6. Question 6 sur 18

    A team has 12 supervisors and 48 other staff. What is the ratio of supervisors to other staff in its simplest form?
    Voir la réponse

    Réponse: C. 1:4

    12:48. Divide both parts by 12 to get 1:4. Keep the order the question uses: supervisors first.

  7. Question 7 sur 18

    Part-time and full-time staff are in the ratio 3:5. There are 40 staff in total. How many are part-time?
    Voir la réponse

    Réponse: D. 15

    3 + 5 = 8 parts. Each part = 40 ÷ 8 = 5 staff. Part-time = 3 × 5 = 15.

  8. Question 8 sur 18

    A $9,000 budget is shared between Team A and Team B in the ratio 2:1. How much does Team A get?
    Voir la réponse

    Réponse: C. $6,000

    2 + 1 = 3 parts. One part = 9,000 ÷ 3 = $3,000. Team A gets 2 parts = $6,000.

  9. Question 9 sur 18

    The share of customers who were satisfied rose from 60% to 66%. By how many percentage points did it rise?
    Voir la réponse

    Réponse: A. 6 percentage points

    A change in percentage points is a simple subtraction: 66 − 60 = 6 percentage points.

  10. Question 10 sur 18

    The share of customers who were satisfied rose from 60% to 66%. What is the percentage increase in the satisfaction rate?
    Voir la réponse

    Réponse: B. 10%

    Percentage change = change ÷ starting value × 100 = 6 ÷ 60 × 100 = 10%. This is different from the 6-percentage-point rise.

  11. Question 11 sur 18

    After a 25% discount, a jacket costs $60. What was the price before the discount?
    Voir la réponse

    Réponse: A. $80

    After a 25% discount you pay 75% of the price. Original = 60 ÷ 0.75 = $80. Adding 25% to $60 gives $75, which is wrong because 25% was taken from the original price.

  12. Question 12 sur 18

    A bill is $189.00 including 5% tax. What was the amount before tax?
    Voir la réponse

    Réponse: A. $180.00

    The bill is 105% of the pre-tax amount. Pre-tax = 189 ÷ 1.05 = $180.00. Taking 5% off $189 gives $179.55, which is wrong.

  13. Question 13 sur 18

    Sales were $5,000 in February. They rose 10% in March, then fell 10% in April. What were April sales?
    Voir la réponse

    Réponse: B. $4,950

    March = 5,000 × 1.10 = $5,500. April = 5,500 × 0.90 = $4,950. The 10% fall is taken from the bigger March figure, so you do not get back to $5,000.

  14. Question 14 sur 18

    The table shows new customers by region last month. What percentage of all new customers came from the South region?
    RégionNew customers
    North120
    South180
    East150
    West50
    Voir la réponse

    Réponse: B. 36%

    Total = 500. South share = 180 ÷ 500 × 100 = 36%.

  15. Question 15 sur 18

    A cleaning product is mixed 1 part concentrate to 24 parts water. How much concentrate is in 5 litres of mixed solution?
    Voir la réponse

    Réponse: C. 200 mL

    1 + 24 = 25 parts in total. 5 L = 5,000 mL. One part = 5,000 ÷ 25 = 200 mL of concentrate. Dividing by 24 forgets the concentrate itself is a part.

  16. Question 16 sur 18

    Which store had the largest percentage increase in sales from last year to this year?
    StoreSales last yearSales this year
    Store 1$52,000$57,200
    Store 2$80,000$86,400
    Store 3$35,000$38,850
    Store 4$64,000$69,760
    Voir la réponse

    Réponse: A. Store 3

    Percentage increases: Store 1 10.0%, Store 2 8.0%, Store 3 11.0%, Store 4 9.0%. Store 3 grew fastest, even though Store 2 had the biggest dollar increase.

  17. Question 17 sur 18

    40% of staff are part-time. Of the part-time staff, 25% work weekends. What percentage of ALL staff are part-time weekend workers?
    Voir la réponse

    Réponse: B. 10%

    Take a percentage of a percentage by multiplying: 0.40 × 0.25 = 0.10, which is 10% of all staff.

  18. Question 18 sur 18

    Shop A grew from $200,000 to $220,000 (10%). Shop B grew from $800,000 to $840,000 (5%). What was the percentage growth of the two shops combined?
    Voir la réponse

    Réponse: B. 6.0%

    Combine the totals: from $1,000,000 to $1,060,000, a rise of $60,000. 60,000 ÷ 1,000,000 × 100 = 6.0%. A simple average of 10% and 5% ignores that Shop B is much bigger.

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