Equal Parts - Worksheet | Maths Year 2 - Free Printable
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Step-by-step solution for: Equal Parts - Worksheet | Maths Year 2
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Show Answer Key & Explanations
Step-by-step solution for: Equal Parts - Worksheet | Maths Year 2
Explanation:
Let’s go through each question one by one.
Question 1: Are the objects split into equal or unequal parts?
- a) A square is split by a diagonal. The two triangles are the same size and shape → equal.
- b) A circle is split by a line that does *not* go through the center — it cuts off a small slice. So the parts are different sizes → unequal.
- c) A bell is split horizontally, but the top part (small cap) and bottom part (large body) are not the same size → unequal.
- d) A vase is split vertically down the middle. It looks symmetric — left and right sides match → equal.
So answers: a) equal, b) unequal, c) unequal, d) equal.
Question 2: Are the objects split into equal groups?
- a) Bees: Left side has 5 bees, right side has 3 bees → not equal → false.
- b) Cars: Left side has 4 cars, right side has 4 cars → equal → true.
Question 3: Split the objects as asked.
- a) 6 red flowers → split into 2 equal groups: 6 ÷ 2 = 3 in each group. So draw 3 flowers in each group.
- b) 12 cupcakes → split into 2 *unequal* groups. Any two numbers that add to 12 but aren’t both 6 — e.g., 4 and 8, or 5 and 7. So one group of 5, one of 7 (or any unequal pair).
Question 4: Use colours to split the 3×4 grid (12 squares) into equal parts in 3 different ways.
Each grid has 12 squares. To split equally:
- Way 1: 2 equal parts → 6 and 6 (e.g., colour first 2 rows one colour, last 2 rows another).
- Way 2: 3 equal parts → 4 and 4 and 4 (e.g., colour each column group of 4 squares).
- Way 3: 4 equal parts → 3 and 3 and 3 and 3 (e.g., colour each row — each row has 3 squares? Wait — no! Grid is 3 rows × 4 columns = 12 squares. So each row has 4 squares. To get 3 per group, we need 4 groups of 3. So maybe colour 3 squares in each of 4 blocks — e.g., divide into four 3-square L-shapes or just pick any 3 squares per group. But since it says “use colours”, the key is that each coloured region must have the same number of squares. So possible splits: 2 groups of 6, 3 groups of 4, 4 groups of 3, or 6 groups of 2, etc. They ask for 3 *different* ways — so likely:
- 2 groups of 6
- 3 groups of 4
- 4 groups of 3
(All valid.)
Question 5: Chad says: “If I split this group of ducks into 2 equal groups, there will be 5 ducks in each group.”
How many ducks are there? Count them: Top row: 5 ducks. Bottom row: 5 ducks. Total = 10 ducks.
10 ÷ 2 = 5. So yes — 2 equal groups of 5 each.
✔ Chad is correct.
Final Answer:
1. a) equal, b) unequal, c) unequal, d) equal
2. a) false, b) true
3. a) 3 and 3 flowers; b) any two unequal groups adding to 12 (e.g., 5 and 7)
4. Three ways: e.g., 2 groups of 6, 3 groups of 4, 4 groups of 3
5. Yes, Chad is correct because 10 ÷ 2 = 5.
Let’s go through each question one by one.
Question 1: Are the objects split into equal or unequal parts?
- a) A square is split by a diagonal. The two triangles are the same size and shape → equal.
- b) A circle is split by a line that does *not* go through the center — it cuts off a small slice. So the parts are different sizes → unequal.
- c) A bell is split horizontally, but the top part (small cap) and bottom part (large body) are not the same size → unequal.
- d) A vase is split vertically down the middle. It looks symmetric — left and right sides match → equal.
So answers: a) equal, b) unequal, c) unequal, d) equal.
Question 2: Are the objects split into equal groups?
- a) Bees: Left side has 5 bees, right side has 3 bees → not equal → false.
- b) Cars: Left side has 4 cars, right side has 4 cars → equal → true.
Question 3: Split the objects as asked.
- a) 6 red flowers → split into 2 equal groups: 6 ÷ 2 = 3 in each group. So draw 3 flowers in each group.
- b) 12 cupcakes → split into 2 *unequal* groups. Any two numbers that add to 12 but aren’t both 6 — e.g., 4 and 8, or 5 and 7. So one group of 5, one of 7 (or any unequal pair).
Question 4: Use colours to split the 3×4 grid (12 squares) into equal parts in 3 different ways.
Each grid has 12 squares. To split equally:
- Way 1: 2 equal parts → 6 and 6 (e.g., colour first 2 rows one colour, last 2 rows another).
- Way 2: 3 equal parts → 4 and 4 and 4 (e.g., colour each column group of 4 squares).
- Way 3: 4 equal parts → 3 and 3 and 3 and 3 (e.g., colour each row — each row has 3 squares? Wait — no! Grid is 3 rows × 4 columns = 12 squares. So each row has 4 squares. To get 3 per group, we need 4 groups of 3. So maybe colour 3 squares in each of 4 blocks — e.g., divide into four 3-square L-shapes or just pick any 3 squares per group. But since it says “use colours”, the key is that each coloured region must have the same number of squares. So possible splits: 2 groups of 6, 3 groups of 4, 4 groups of 3, or 6 groups of 2, etc. They ask for 3 *different* ways — so likely:
- 2 groups of 6
- 3 groups of 4
- 4 groups of 3
(All valid.)
Question 5: Chad says: “If I split this group of ducks into 2 equal groups, there will be 5 ducks in each group.”
How many ducks are there? Count them: Top row: 5 ducks. Bottom row: 5 ducks. Total = 10 ducks.
10 ÷ 2 = 5. So yes — 2 equal groups of 5 each.
✔ Chad is correct.
Final Answer:
1. a) equal, b) unequal, c) unequal, d) equal
2. a) false, b) true
3. a) 3 and 3 flowers; b) any two unequal groups adding to 12 (e.g., 5 and 7)
4. Three ways: e.g., 2 groups of 6, 3 groups of 4, 4 groups of 3
5. Yes, Chad is correct because 10 ÷ 2 = 5.
Parent Tip: Review the logic above to help your child master the concept of equal shares worksheet.