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Free quantitative reasoning worksheet, grade 2 (ages 7–8, UK Year 3)

10 puzzles on page one, the answers and the rules on page two. Ask your child to say the rule before you check it — that’s the part that sticks.

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Quantitative reasoning worksheet, grade 2 (ages 7–8, UK Year 3)

Name: ____________________

  1. 1.

    Look at how the groups change. What does the last group change into?

    • Atwo soccer balls
    • Bsix soccer balls
    • Cfour soccer balls
    • Dfive soccer balls

  2. 2.

    How many beads go on the next rod?

    • Afive beads
    • Bfour beads
    • Csix beads
    • Dseven beads

  3. 3.

    How many beads go on the next rod?

    • Aten beads
    • Bthree beads
    • Ctwo beads
    • Done bead

  4. 4.

    How many are there in all three groups?

    • Anine strawberries
    • Bseven strawberries
    • Cten strawberries
    • Deight strawberries

  5. 5.

    How many beads go on the next rod?

    • Atwo beads
    • Bfour beads
    • Cone bead
    • Dthree beads

  6. 6.

    Some are added and some are taken away. How many are left?

    • Anine fish
    • Beight fish
    • Csix fish
    • Dseven fish

  7. 7.

    Look at how the groups change. What does the last group change into?

    • Afive bananas
    • Bthree bananas
    • Ctwo bananas
    • Done banana

  8. 8.

    Look at how the groups change. What does the last group change into?

    • Asix bananas
    • Bthree bananas
    • Cseven bananas
    • Dfive bananas

  9. 9.

    Look at how the groups change. What does the last group change into?

    • Asix lemons
    • Bfour lemons
    • Ctwo lemons
    • Dthree lemons

  10. 10.

    Some are added and some are taken away. How many are left?

    • Aten eggs
    • Bsix eggs
    • Cfour eggs
    • Dfive eggs

Answers, and the rule behind each one

  1. 1. D — five soccer balls. Rule: Three more. Each group gets three more. So the last group gets three more too.
  2. 2. A — five beads. Rule: A pattern that repeats. The rods repeat the same three numbers, over and over.
  3. 3. C — two beads. Rule: A pattern that repeats. The rods repeat the same three numbers, over and over.
  4. 4. A — nine strawberries. Rule: Put them all together. Count all three groups together to find how many there are in all.
  5. 5. C — one bead. Rule: Steps that take turns. The rods go down by one and by two, taking turns.
  6. 6. D — seven fish. Rule: Add, then take away. Put the first two groups together, then take away the last one.
  7. 7. C — two bananas. Rule: Three less. Each group loses three. So the last group loses three too.
  8. 8. A — six bananas. Rule: Twice as many. Each group becomes twice as many. So the last group doubles too.
  9. 9. D — three lemons. Rule: Half as many. Each group becomes half as many. So the last group halves too.
  10. 10. D — five eggs. Rule: Add, then take away. Put the first two groups together, then take away the last one.