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Math 7

Math 7 · Worksheets

Cumulative review

Ten questions of mixed difficulty, covering Circles and area, Divisibility and decimals, Equations, Integers, Patterns and expressions. Print it, or work through it on screen — the answer key starts on its own page.

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Cumulative review

Math 7 · maddyhelps.com

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Circle the best answer for each question. Show your work in the space provided.

  1. Figure 1 of a pattern has 7 tiles, figure 2 has 11 and figure 3 has 15. Which figure has 71 tiles?

    1. a) figure 18
    2. b) figure 17
    3. c) figure 16
    4. d) figure 10

  2. Which number is greatest?

    1. a) 0.625
    2. b) 0.7
    3. c) 0.099
    4. d) 0.65

  3. Lina buys 4 identical notebooks and a $3 pen. She spends $23 in all. Which equation gives the cost, c, of one notebook?

    1. a) 3c + 4 = 23
    2. b) c + 3 = 23
    3. c) 4c + 3 = 23
    4. d) 7c = 23

  4. A triangle has a base of 10 cm and a height of 6 cm. What is its area?

    1. a) 8 cm²
    2. b) 16 cm²
    3. c) 30 cm²
    4. d) 60 cm²

  5. At 7 a.m. in Calgary it was −12 °C. By 3 p.m. it was 5 °C. By how many degrees did the temperature rise?

    1. a) 17 °C
    2. b) −17 °C
    3. c) −7 °C
    4. d) 7 °C

  6. 0.4 × 0.3 equals

    1. a) 0.7
    2. b) 0.012
    3. c) 0.12
    4. d) 1.2

  7. On a pan balance, 3 identical bags of marbles balance 18 loose marbles. How many marbles are in each bag?

    1. a) 54
    2. b) 21
    3. c) 6
    4. d) 15

  8. A diver is 18 m under the water, at −18 m. A gull is flying 25 m above the water, directly over her. How many metres higher than the diver is the gull?

    1. a) −43 m
    2. b) 43 m
    3. c) 7 m
    4. d) −7 m

  9. A pan balance shows 3x + 2 = 14. Everything on both pans is doubled. Which equation shows the new balance?

    1. a) 6x + 2 = 28
    2. b) 6x + 4 = 14
    3. c) 6x + 4 = 28
    4. d) 3x + 2 = 28

  10. A parallelogram has a base of 9 cm, slanted sides of 5 cm and a height of 4 cm. What is its area?

    1. a) 45 cm²
    2. b) 36 cm²
    3. c) 28 cm²
    4. d) 18 cm²

Answer key · Cumulative review

Math 7 · maddyhelps.com

  1. b) figure 17 — The pattern adds 4 each time, and figure 1 is 4 + 3, so the rule is 4n + 3. Solve 4n + 3 = 71: 4n = 68 and n = 17. Answering 16 counts the 16 jumps of 4 after figure 1, but those jumps start from figure 1, so they end at figure 17.
  2. b) 0.7 — Compare the tenths first: 0.7 has 7 tenths, and 0.65 and 0.625 have only 6. More digits after the decimal point does not make a number bigger — that thinking picks 0.625, which is 625 thousandths against 0.7's 700 thousandths.
  3. c) 4c + 3 = 23 — Four notebooks cost 4c, and the pen adds $3 once: 4c + 3 = 23, so 4c = 20 and each notebook is $5. 3c + 4 swaps the number of notebooks with the price of the pen, and 7c = 23 treats the pen as three more notebooks.
  4. c) 30 cm² — A triangle is half of a parallelogram with the same base and height, so its area is b × h ÷ 2 = 10 × 6 ÷ 2 = 30 cm². 60 cm² forgets to halve, and 16 adds the base and height instead of multiplying them.
  5. a) 17 °C — The rise is the final temperature minus the starting one: 5 − (−12) = 5 + 12 = 17. On a thermometer it climbs 12 degrees to reach 0, then 5 more. Answering 7 takes 5 from 12 as if both temperatures were on the same side of zero.
  6. c) 0.12 — 4 × 3 = 12, and the two factors have one decimal place each, so the answer has two: 0.12. It is smaller than both factors, as it must be when you multiply two numbers less than 1. 1.2 counts only one decimal place, and 0.7 adds instead of multiplying.
  7. c) 6 — 3 bags balancing 18 marbles is the equation 3b = 18. Dividing both sides by 3 shares the 18 equally among the bags: b = 6. 15 subtracts the 3 instead of dividing, and 54 multiplies.
  8. b) 43 m — Subtract the lower position from the higher one: 25 − (−18) = 25 + 18 = 43 m — 18 m up to the surface and 25 m more to the gull. Answering 7 m subtracts 18 from 25 as if the diver were above the water too, and −43 m subtracts in the wrong order.
  9. c) 6x + 4 = 28 — Doubling everything means the 3 bags become 6, the 2 becomes 4 and the 14 becomes 28: 6x + 4 = 28. Doubling the bags but not the 2 gives 6x + 2 = 28, which is false for the solution, x = 4: 6 × 4 + 2 = 26, not 28.
  10. b) 36 cm² — The area of a parallelogram is base × height, and the height is measured straight up from the base, at a right angle: 9 × 4 = 36 cm². 45 cm² uses the slanted side, which is longer than the height, and 18 cm² halves as if it were a triangle.