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ACT Sample Questions : Mathematics

21. If 60% of the weight of a 2,200-pound car should be supported by the rear tires, how many pounds should be supported by the rear tires?
    1. 120
    2. 600
    3. 1,200
    4. 1,320
    5. 1,600

    Answer: D

22. A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?
    1. 33.33%
    2. 75%
    3. 300%
    4. 150%

    Answer: C

23. A merchant buys two articles for Rs.600. He sells one of them at a profit of 22% and the other at a loss of 8% and makes no profit or loss in the end. What is the selling price of the article that he sold at a loss?
    1. Rs. 404.80
    2. Rs. 440
    3. Rs. 536.80
    4. Rs. 160

    Answer: A

24. A trader professes to sell his goods at a loss of 8% but weights 900 grams in place of a kg weight. Find his real loss or gain per cent.
    1. 2% loss
    2. 2.22% gain
    3. 2% gain
    4. None of these

    Answer: B

25. Rajiv sold an article for Rs.56 which cost him Rs.x. If he had gained x% on his outlay, what was his cost?
    1. Rs. 40
    2. Rs. 45
    3. Rs. 36
    4. Rs. 28

    Answer: A

26. A trader buys goods at a 19% Aount on the label price. If he wants to make a profit of 20% after allowing a Aount of 10%, by what % should his marked price be greater than the original label price?
    1. +8%
    2. -3.8%
    3. +33.33%
    4. None of these

    Answer: A

27. The total surface area of the rectangular box shown below is the sum of the areas of the 6 sides. What is the box's total surface area, in square inches?

    

    1. 12
    2. 16
    3. 20
    4. 24
    5. 32

    Answer: E

28. Lengths are shown in inches on the drawing of the rectangle below. What is the shaded area, in square inches?

    

    1. 18
    2. 24
    3. 57
    4. 78
    5. 96

    Answer: C

29. On sunny days, Zina takes a shortcut across a field to get to school, as shown below. On rainy days, she stays on the sidewalks. On rainy days, how many yards longer is Zina's walk to school?

    

    1. 60
    2. 90
    3. 150
    4. 180
    5. 210

    Answer: A

30. What is the sum of the 2 real solutions to the equation x = 6 – x² ?
    1. 6
    2. 2
    3. 1
    4. –1
    5. –6

    Answer: D