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 backpack costs $120. Which equation matches 'half of $120'?

    • 120 ÷ 2 = 60
    • 120 + 2 = 122
    • 120 × 2 = 240

  2. A film is 90 minutes long. Which equation shows how long 1/3 of the film is?

    • 90 × 3 = 270
    • 90 ÷ 3 = 30
    • 90 − 3 = 87

  3. 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

  4. This bar is split into 4 equal parts. 3 parts are shaded. What fraction is shaded?

    • 3/4
    • 4/3
    • 1/4

  5. Which story matches this bar?

    • Dee drank 3 of the 3 equal cups of juice
    • Dee drank 2 of the 3 equal cups of juice
    • Dee drank 1 of the 3 equal cups of juice

  6. 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

  7. Dan has $350. He spends $120 on a bike. He shows this on a number line, starting at 350 and hopping back 120. What number does he land on?

    Answer: ______________

  8. Tom wants to show 1/2 of his 20 marbles on a bar. He cuts the bar into 2 equal parts and shades both parts. What should he change?

    • Cut the bar into 20 equal parts
    • Cut the bar into 1 equal part
    • Shade only 1 of the 2 parts

  9. 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

  10. A team saved $84 for kit. They spent 3/4 of it on shirts. How much money is left?

    Answer: ______________

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. 120 ÷ 2 = 60 · Finding half means splitting into two equal parts, so you divide: 120 ÷ 2 = 60.
  2. 90 ÷ 3 = 30 · 1/3 means splitting the film into 3 equal parts, so you divide: 90 ÷ 3 = 30 minutes.
  3. False · 1 shaded part out of 4 equal parts is 1/4. The 3 plain parts are the 3/4.
  4. 3/4 · 3 parts are shaded out of 4 equal parts, so that is 3/4.
  5. Dee drank 1 of the 3 equal cups of juice · The bar has 3 equal parts with 1 shaded, so the story is 1 cup out of 3, which is 1/3.
  6. $40 · Each hop is $20, and 2 hops from 0 land on $40, so Rosa has saved $40.
  7. 230 · Hopping back 120 from 350 is the same as the equation 350 − 120 = 230, so he lands on 230.
  8. Shade only 1 of the 2 parts · The top number of 1/2 is 1, so only 1 of the 2 equal parts gets shaded. Shading both parts covers all 20 marbles.
  9. 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.
  10. 21 · 84 ÷ 4 = 21 in each part. Shirts took 3 parts, so 1 part is left, which is $21.
Worksheet · LightMySky