Unit 4 Quiz: Circles and Area - Math Makes Sense 7

Section 1: Parts of a Circle (Lesson 4.1)

Question 1.1

The formula for the relationship between diameter (d) and radius (r) is d = 2r (or r = d/2).

If the radius is 6 cm, what is the diameter?

a) 3 cm b) 6 cm c) 12 cm d) 18 cm

Use the formula d = 2r to calculate.

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Question 1.2

If the diameter is 16 cm, what is the radius?

a) 4 cm b) 8 cm c) 16 cm d) 32 cm

Radius is half the diameter.

Question 1.3

If the radius is 7 cm, what is the diameter?

a) 3.5 cm b) 7 cm c) 14 cm d) 21 cm

Diameter is twice the radius.

Now a tough one, double Points

A bicycle wheel has a diameter of 70 cm. If the wheel makes 100 revolutions, how far does the bicycle travel in meters? (Use π ≈ 3.14 and find the circumference first.)

a) 219.8 m b) 21.98 m c) 2.198 m d) 70 m

First find circumference using C = πd, then multiply by 100 revolutions. Convert to meters if needed.

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Section 2: Circumference of a Circle (Lesson 4.2)

Question 2.1

The formula for circumference is C = πd or C = 2πr (use π ≈ 3.14).

What is the circumference if the diameter is 10 cm? Round to two decimal places.

a) 15.70 cm b) 31.40 cm c) 62.80 cm d) 5.00 cm

Use C = πd with π ≈ 3.14.

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Question 2.2

What is the circumference if the radius is 7 cm? Round to two decimal places.

a) 21.99 cm b) 43.98 cm c) 87.96 cm d) 14.00 cm

Use C = 2πr with π ≈ 3.14.

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Question 2.3

What is the circumference if the diameter is 15 cm? Round to two decimal places.

a) 23.55 cm b) 47.10 cm c) 94.20 cm d) 7.50 cm

Use C = πd with π ≈ 3.14.

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Now a tough one, double Points

A running track is a circle with radius 50 m. If a runner completes 4 laps, how far does he run in total? (Use π ≈ 3.14)

a) 628 m b) 1256 m c) 200 m d) 2512 m

Find circumference first, then multiply by 4 laps.

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Section 3: Area of a Circle (Lesson 4.5)

Question 3.1

The formula for the area of a circle is A = πr² (use π ≈ 3.14).

What is the area if radius = 2 cm? Round to two decimal places.

a) 6.28 cm² b) 12.56 cm² c) 25.12 cm² d) 4.00 cm²

Square the radius, then multiply by π.

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Question 3.2

What is the area if radius = 7 cm? Round to two decimal places.

a) 21.99 cm² b) 43.98 cm² c) 153.94 cm² d) 307.88 cm²

A = π r² with π ≈ 3.14.

Show your work here:

Question 3.3

What is the area if radius = 10 cm? Round to two decimal places.

a) 31.40 cm² b) 62.80 cm² c) 314.00 cm² d) 628.00 cm²

A = π r² with π ≈ 3.14.

Show your work here:

Now a tough one, double Points

A pizza has a diameter of 30 cm. What is the area of the pizza? (Use π ≈ 3.14 and round to two decimal places.)

a) 94.20 cm² b) 471.00 cm² c) 706.50 cm² d) 1413.00 cm²

First find r = d/2, then A = π r².

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Section 4: Interpreting Circle Graphs (Lesson 4.6)

Question 4.1

The formula for central angle is θ = (part/whole) × 360°.

In a class of 50 students, 15 like blue. What is the central angle for blue?

a) 108° b) 120° c) 180° d) 360°

Part = 15, whole = 50, multiply fraction by 360°.

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Question 4.2

In a survey of 100 people, 40 prefer apple. What is the central angle for apple?

a) 40° b) 144° c) 216° d) 360°

Part = 40, whole = 100, θ = (40/100) × 360°.

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Question 4.3

A circle graph has a sector with 72°. What percent of the data is this sector?

a) 20% b) 25% c) 50% d) 72%

Percent = (θ / 360°) × 100.

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Now a tough one, double Points

In a survey of favorite sports, 120 people responded: 48 like soccer, 36 like basketball, 24 like hockey, and the rest like tennis. What is the central angle for tennis?

a) 36° b) 72° c) 108° d) 144°

First find the number for tennis (120 - 48 - 36 - 24), then θ = (part/120) × 360°.

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Section 5: Area of a Parallelogram (Lesson 4.3)

Question 5.1

The formula for the area of a parallelogram is A = b × h.

What is the area if base = 24 cm and height = 13 cm?

a) 37 cm² b) 156 cm² c) 312 cm² d) 624 cm²

Multiply base times height.

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Question 5.2

What is the area if base = 15 mm and height = 13 mm?

a) 28 mm² b) 195 mm² c) 390 mm² d) 15 mm²

Area = base × height.

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Question 5.3

What is the area if base = 24 cm and height = 16 cm?

a) 40 cm² b) 192 cm² c) 384 cm² d) 768 cm²

Area = base × height.

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Now a tough one, double Points

A parallelogram-shaped garden has a base of 20 m and a height of 8 m. What is the area of the garden?

a) 28 m² b) 80 m² c) 160 m² d) 320 m²

Area = base × height.

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Section 6: Area of a Triangle (Lesson 4.4)

Question 6.1

The formula for the area of a triangle is A = (1/2) × b × h.

What is the area if base = 14 cm and height = 3 cm?

a) 21 cm² b) 42 cm² c) 17 cm² d) 7 cm²

Half of base times height.

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Question 6.2

What is the area if base = 5 cm and height = 5 cm?

a) 12.5 cm² b) 25 cm² c) 10 cm² d) 5 cm²

Area = (1/2) × base × height.

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Question 6.3

What is the area if base = 8 cm and height = 3 cm?

a) 12 cm² b) 24 cm² c) 11 cm² d) 4 cm²

Area = (1/2) × base × height.

Show your work here:

Now a tough one, double Points

A triangular sail has a base of 12 m and a height of 5 m. What is the area of the sail?

a) 30 m² b) 60 m² c) 17 m² d) 6 m²

Area = (1/2) × base × height.

Show your work here:

Jonah's Math Kangaroo Extravaganza - Chapter 4 Math Sense

Choose a Section

Section 1: Parts of a Circle (Lesson 4.1)

Question 1.1

Question 1.2

Question 1.3

Now a tough one, double Points

Section 2: Circumference of a Circle (Lesson 4.2)

Question 2.1

Question 2.2

Question 2.3

Now a tough one, double Points

Section 3: Area of a Circle (Lesson 4.5)

Question 3.1

Question 3.2

Question 3.3

Now a tough one, double Points

Section 4: Interpreting Circle Graphs (Lesson 4.6)

Question 4.1

Question 4.2

Question 4.3

Now a tough one, double Points

Section 5: Area of a Parallelogram (Lesson 4.3)

Question 5.1

Question 5.2

Question 5.3

Now a tough one, double Points

Section 6: Area of a Triangle (Lesson 4.4)

Question 6.1

Question 6.2

Question 6.3

Now a tough one, double Points