Moving between situations, diagrams and equations · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Fractions: pictures, number lines, and equations

Mathematics · Mathematical Thinking · ages 7-8
Name ______________________   Date ____________

  1. A pizza bar is cut into 4 equal parts and 1 part is shaded. The shaded part shows 3/4 of the pizza.

    Circle one:   True   False

  2. A number line jumping from 0 to 100 in 4 equal hops of 25 can show the fraction 1/4 of 100.

    Circle one:   True   False

  3. A 12 km hike is split into 3 equal parts on the bar. How many kilometres is 1 part?

    Answer: ______________

  4. A shopkeeper sells 234 apples on Monday and 156 on Tuesday. How many apples is that in total?

    Answer: ______________

  5. The bar shows Nina's $36 gift card in 4 equal parts. She spent 3 of them. Which equation finds the value of one part?

    • 36 ÷ 3 = 12
    • 36 ÷ 4 = 9
    • 36 − 4 = 32

  6. A ribbon is 200 cm long. The number line shows it split into 4 equal hops of 50. What fraction of the ribbon is 1 hop?

    050100150200
    • 1/4
    • 1/2
    • 1/3

  7. The number line shows Rosa's $60 saving goal in 3 equal hops. She has saved 2 hops. How much has she saved?

    0204060
    • $20
    • $40
    • $60

  8. A frog jumps from 45 to 75 on a number line. How big was the jump?

    • 20
    • 30
    • 40
    • 25

  9. A school raised $480 for a trip. They spent 3/4 of it on buses, shown by the bar (4 equal parts, 3 shaded). How much did they spend on buses?

    Answer: ______________

  10. Lena's bar shows a $30 prize in 3 equal parts, with 2 parts shaded for her share. She writes 30 ÷ 2 = 15 to find one part. What went wrong?

    • She divided by the shaded parts. One part is 30 ÷ 3 = 10
    • She should have added instead: 30 + 3 = 33
    • Nothing went wrong, because 2 parts are shaded
LightMySky · lightmysky.comW1-mt_dXq9VWm31W-s1

Answer key

For grown-ups. Fold this page away before handing over the rest.

Fractions: pictures, number lines, and equations W1-mt_dXq9VWm31W-s1

  1. False · 1 shaded part out of 4 equal parts is 1/4. The 3 plain parts are the 3/4.
  2. True · Each hop of 25 is one out of four equal parts of 100, so one hop shows 1/4.
  3. 4 · 12 km split into 3 equal parts: 12 ÷ 3 = 4 km in each part.
  4. 390 · 234 + 156 = 390.
  5. 36 ÷ 4 = 9 · The bar has 4 equal parts, so one part is 36 ÷ 4 = 9 dollars. The 3 says how many parts she spent, not how many parts there are.
  6. 1/4 · One hop out of four equal hops is 1/4 of the ribbon.
  7. $40 · Each hop is $20, and 2 hops from 0 land on $40, so Rosa has saved $40.
  8. 30 · 75 - 45 = 30, so the jump was 30.
  9. 360 · 480 ÷ 4 = 120 for each part. 3 shaded parts: 3 × 120 = $360.
  10. She divided by the shaded parts. One part is 30 ÷ 3 = 10 · You divide by how many equal parts the bar has, which is 3, not by how many are shaded. One part is 30 ÷ 3 = 10.
Worksheet · LightMySky