Let’s go through each question step by step.
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Question 1: What part of each shape has been shaded?
We count how many equal parts the shape is divided into, and how many are shaded.
a. Rectangle divided into 6 equal parts, 2 shaded →
2/6 (can simplify to 1/3, but we’ll keep as is unless asked)
b. Triangle divided into 4 equal parts, 1 shaded →
1/4
c. Circle divided into 8 equal parts, 3 shaded →
3/8
d. Rectangle divided into 3 equal parts, 1 shaded →
1/3
e. Diamond (rhombus) divided into 6 equal parts, 5 shaded →
5/6
f. Rectangle divided into 10 equal parts, 7 shaded →
7/10
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Question 2: What part has NOT been shaded?
This means: total parts minus shaded parts = unshaded parts.
a. Total 6, shaded 2 → unshaded = 4 →
4/6
b. Total 4, shaded 1 → unshaded = 3 →
3/4
c. Total 8, shaded 3 → unshaded = 5 →
5/8
d. Total 3, shaded 1 → unshaded = 2 →
2/3
e. Total 6, shaded 5 → unshaded = 1 →
1/6
f. Total 10, shaded 7 → unshaded = 3 →
3/10
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Question 3: Shade each shape to show the given fraction.
You need to divide the shape into the denominator number of equal parts, then shade the numerator number.
a. 1/3 → Divide rectangle into 3 equal parts, shade 1.
b. 3/4 → Divide circle into 4 equal parts, shade 3.
c. 3/5 → Divide rectangle into 5 equal parts, shade 3.
d. 2/5 → Divide pentagon into 5 equal parts, shade 2.
e. 1/2 → Divide square into 2 equal parts, shade 1.
f. 5/8 → Divide rectangle into 8 equal parts, shade 5.
*(Note: Since this is text-based, I can’t draw, but you would do this on paper.)*
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Question 4: What part of each group has been shaded?
Count total items in group, count shaded ones.
a. 9 circles total, 5 shaded →
5/9
b. 8 squares total, 3 shaded →
3/8
c. 10 diamonds total, 4 shaded →
4/10
d. 6 ovals total, 2 shaded →
2/6
e. 12 triangles total, 7 shaded →
7/12
f. 12 stars total, 5 shaded →
5/12
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Question 5: Draw groups and shade to represent the fractions.
Again, you’d draw these:
a. 4/7 of the circles → Draw 7 circles, shade 4.
b. 4/7 of the squares → Draw 7 squares, shade 4.
c. 6/7 of the triangles → Draw 7 triangles, shade 6.
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Question 6: If 2/3 of a set of pencils are broken, and there are 24 pencils in a set, how many are not broken?
Step 1: Find how many are broken.
2/3 of 24 = (2 × 24) ÷ 3 = 48 ÷ 3 =
16 broken
Step 2: Subtract from total to find unbroken.
24 - 16 =
8 not broken
Alternatively: If 2/3 are broken, then 1/3 are not broken.
1/3 of 24 = 24 ÷ 3 =
8
Same answer!
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Final Answer:
For Question 6:
8 pencils are not broken.
Parent Tip: Review the logic above to help your child master the concept of sixth grade math worksheet with answers.