Geometric probability

Grade 10 Math Worksheet - Building Confidence

NameDate

Circle the best answer.

1.
A bird lands at a random point on Ari's 20-m fence. What is the chance it lands within 3 m of the fence's midpoint, on either side?
- 3/20
- 7/10
- 3/17
- 3/10
2.
A bus comes every 20 minutes. Esme arrives at a random time. What is the chance of waiting more than 5 minutes?
- 1/3
- 3/5
- 3/4
- 1/4
3.
Jun's 60-minute show has one ad at a random minute. What is the chance the ad is in the first 15 minutes or the last 10 minutes?
- 5/12
- 1/4
- 5/7
- 7/12
4.
Luz's target mat is a circle of radius 10 cm, and the bullseye has radius 2 cm. A beanbag lands at a random spot on the mat. What is the chance it hits the bullseye?
- 1/25
- 24/25
- 1/24
- 1/5
5.
Noah's spinner has a red sector of 72° and a blue sector of 90°. The rest is white. The arrow stops at a random spot. What is the chance it stops on white?
- 9/11
- 11/20
- 9/20
- 4/5
6.
Pia's square park has 10 m sides and a round pond of radius 3 m. A raindrop lands at random in the park. Which calculation gives the chance it lands in the pond?
- π × 3² ÷ (10² − π × 3²)
- π × 3 ÷ 10
- π × 3² ÷ 10²
- 2π × 3 ÷ (4 × 10)
7.
Ren's round target has outer radius 8 cm and an inner circle of radius 5 cm. Which calculation gives the chance a random beanbag lands in the outer ring only?
- (8 − 5) ÷ 8
- 5² ÷ 8²
- (8² − 5²) ÷ 8²
- (8 − 5)² ÷ 8²
8.
A class lasts 50 minutes. Tala's fire drill starts at a random minute. Which calculation gives the chance it starts between minute 10 and minute 30?
- 20 ÷ (50 − 20)
- (30 − 10) ÷ 50
- (50 − 20) ÷ 50
- 30 ÷ 50
9.
Zee's circular spinner has a shaded sector of 120°. The arrow stops at a random spot. Which calculation gives the chance it stops in the shaded sector?
- 120 ÷ 180
- 240 ÷ 360
- 120 ÷ 240
- 120 ÷ 360
10.
A paint drop lands at random on Ari's 14 ft by 6 ft wall, which has a triangular sail (base 10 ft, height 3 ft). Which calculation gives the chance it lands on the sail?
- (½ × 10 × 3) ÷ (14 × 6 − ½ × 10 × 3)
- (10 + 3) ÷ (14 + 6)
- (10 × 3) ÷ (14 × 6)
- (½ × 10 × 3) ÷ (14 × 6)

Geometric probability

Answer Key - Grade 10 Math Worksheet - Building Confidence

Circle the best answer.

1.
A bird lands at a random point on Ari's 20-m fence. What is the chance it lands within 3 m of the fence's midpoint, on either side?
- 3/20
- 7/10
- 3/17
- 3/10
2.
A bus comes every 20 minutes. Esme arrives at a random time. What is the chance of waiting more than 5 minutes?
- 1/3
- 3/5
- 3/4
- 1/4
3.
Jun's 60-minute show has one ad at a random minute. What is the chance the ad is in the first 15 minutes or the last 10 minutes?
- 5/12
- 1/4
- 5/7
- 7/12
4.
Luz's target mat is a circle of radius 10 cm, and the bullseye has radius 2 cm. A beanbag lands at a random spot on the mat. What is the chance it hits the bullseye?
- 1/25
- 24/25
- 1/24
- 1/5
5.
Noah's spinner has a red sector of 72° and a blue sector of 90°. The rest is white. The arrow stops at a random spot. What is the chance it stops on white?
- 9/11
- 11/20
- 9/20
- 4/5
6.
Pia's square park has 10 m sides and a round pond of radius 3 m. A raindrop lands at random in the park. Which calculation gives the chance it lands in the pond?
- π × 3² ÷ (10² − π × 3²)
- π × 3 ÷ 10
- π × 3² ÷ 10²
- 2π × 3 ÷ (4 × 10)
7.
Ren's round target has outer radius 8 cm and an inner circle of radius 5 cm. Which calculation gives the chance a random beanbag lands in the outer ring only?
- (8 − 5) ÷ 8
- 5² ÷ 8²
- (8² − 5²) ÷ 8²
- (8 − 5)² ÷ 8²
8.
A class lasts 50 minutes. Tala's fire drill starts at a random minute. Which calculation gives the chance it starts between minute 10 and minute 30?
- 20 ÷ (50 − 20)
- (30 − 10) ÷ 50
- (50 − 20) ÷ 50
- 30 ÷ 50
9.
Zee's circular spinner has a shaded sector of 120°. The arrow stops at a random spot. Which calculation gives the chance it stops in the shaded sector?
- 120 ÷ 180
- 240 ÷ 360
- 120 ÷ 240
- 120 ÷ 360
10.
A paint drop lands at random on Ari's 14 ft by 6 ft wall, which has a triangular sail (base 10 ft, height 3 ft). Which calculation gives the chance it lands on the sail?
- (½ × 10 × 3) ÷ (14 × 6 − ½ × 10 × 3)
- (10 + 3) ÷ (14 + 6)
- (10 × 3) ÷ (14 × 6)
- (½ × 10 × 3) ÷ (14 × 6)