Self-Test Chapter 1

Answers to all problems are available at the end of the textbook.

    For Problem 1, (i) estimate the answer by rounding each number to the nearest hundred, and (ii) calculate the exact answer.

  1. a. [latex] $\displaystyle{5,475 + 1,260 + 179 − 50}$ [/latex]
    b. [latex] $\displaystyle{1,274 × 350}$ [/latex]
    c. [latex] $\displaystyle{6,720 ÷ 112}$ [/latex]

    2. For Problems 2 to 5, evaluate the expressions.

  2. a. [latex] $\displaystyle{5(3^2 - 4) + (5^2 - 4^2)}$ [/latex]
    b. [latex] $\displaystyle{(5 + 4)^2 ÷ (5 - 2)^3}$ [/latex]
    c. [latex] $\displaystyle{4[12 - (6 - 3)(2)] ÷ 12}$ [/latex]
  3. a. [latex] $\displaystyle{8 + (8 × 5 + 4) + 11 - 7}$ [/latex]
    b. [latex] $\displaystyle{(5 + 1)^2 [(11 - 9)^2 - 6 ÷ 2]}$ [/latex]
    c. [latex] $\displaystyle{100 ÷ [5 × 4 + (8 - 3)^2 + 5]}$ [/latex]
  4. a. [latex] $\displaystyle{\sqrt{(4^2 × 5 + 1)} - \sqrt{6^2 ÷ 3^2}}$ [/latex]
    b. [latex] $\displaystyle{16 × 8 - (4^2 + 8) + \sqrt{(16^2 ÷ 4)^2}}$ [/latex]
    c. [latex] $\displaystyle{5(5^2 - 3^2) ÷ (5 - 3)}$ [/latex]
  5. a. [latex] $\displaystyle{(4 × 8 - 4^2) ÷ \sqrt{10^2 ÷ 6^2}}$ [/latex]
    b. [latex] $\displaystyle{[(12^2 - 4 × 3) + 8] ÷ 7}$ [/latex]
    c. [latex] $\displaystyle{12^2 ÷ 4 - 3 × 3^2}$ [/latex]
  6. Bob and Hari saved a total of $7,650. If Bob saved five times as much as Hari, how much money do each of them have?
  7. A truck can hold 1,275 cartons of milk. Each carton weighs 18 -kg and the empty truck weighs 3,045 kg. Calculate the total weight of the truck when it is fully loaded with milk.
  8. Caroline's take home pay for last year was $48,880. Calculate her pay for each week. (Assume 1 year = 52 weeks).
  9. 4,256 people visited the Toronto Zoo on Sunday. 1,968 were adults and the rest were children. How many more children than adults visited the zoo?
  10. Four lights, red, blue, green, and yellow, flash at intervals of 12, 16, 18, and 21 seconds, respectively. If they begin flashing at the same time, when will they flash together again?
  11. Four wires measuring 12 m, 18 m, 24 m, and 42 m are to be cut into pieces of equal lengths, without wastage. What is the maximum possible length of each piece?
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