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

不限时专题测验：关于Percentages, percentage change and ratios的18道题，每道题作答后都有解释。每次题目和选项都会重新打乱。

  • 课程
  • 加拿大
  • 87道题
  • 核对于2026年10月13日
  • 事实核查：2026年10月13日
从课文开始Numerical Reasoning Course: Lessons：阅读时间约180分钟。测试中的每道题在课文中都有讲解。

专题测验2：Percentages, percentage change and ratios

  1. 第1题，共18题

    What is 15% of $240?
    显示答案

    答案: C. $36

    15% = 0.15. 0.15 × 240 = $36.

  2. 第2题，共18题

    Of 60 staff, 45 have finished their training. What percentage have finished?
    显示答案

    答案: A. 75%

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

  3. 第3题，共18题

    A product costs $80. The price goes up by 10%. What is the new price?
    显示答案

    答案: A. $88

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

  4. 第4题，共18题

    Weekly orders went from 400 to 460. What is the percentage increase?
    显示答案

    答案: D. 15%

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

  5. 第5题，共18题

    Overtime fell from 120 hours to 90 hours. What is the percentage decrease?
    显示答案

    答案: A. 25%

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

  6. 第6题，共18题

    A team has 12 supervisors and 48 other staff. What is the ratio of supervisors to other staff in its simplest form?
    显示答案

    答案: C. 1:4

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

  7. 第7题，共18题

    Part-time and full-time staff are in the ratio 3:5. There are 40 staff in total. How many are part-time?
    显示答案

    答案: D. 15

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

  8. 第8题，共18题

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

    答案: C. $6,000

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

  9. 第9题，共18题

    The share of customers who were satisfied rose from 60% to 66%. By how many percentage points did it rise?
    显示答案

    答案: A. 6 percentage points

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

  10. 第10题，共18题

    The share of customers who were satisfied rose from 60% to 66%. What is the percentage increase in the satisfaction rate?
    显示答案

    答案: B. 10%

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

  11. 第11题，共18题

    After a 25% discount, a jacket costs $60. What was the price before the discount?
    显示答案

    答案: 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. 第12题，共18题

    A bill is $189.00 including 5% tax. What was the amount before tax?
    显示答案

    答案: 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. 第13题，共18题

    Sales were $5,000 in February. They rose 10% in March, then fell 10% in April. What were April sales?
    显示答案

    答案: 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. 第14题，共18题

    The table shows new customers by region last month. What percentage of all new customers came from the South region?
    区域New customers
    North120
    South180
    East150
    West50
    显示答案

    答案: B. 36%

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

  15. 第15题，共18题

    A cleaning product is mixed 1 part concentrate to 24 parts water. How much concentrate is in 5 litres of mixed solution?
    显示答案

    答案: 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. 第16题，共18题

    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
    显示答案

    答案: 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. 第17题，共18题

    40% of staff are part-time. Of the part-time staff, 25% work weekends. What percentage of ALL staff are part-time weekend workers?
    显示答案

    答案: B. 10%

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

  18. 第18题，共18题

    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?
    显示答案

    答案: 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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