Compound Measures

Probability Recap

Multiple Choice

If the probability of rain is 0.3, what is the probability it will NOT rain?

• 0.3

• 0.7

• 1.0

• 0.6

Multiple Choice

A bag contains 4 red and 6 blue marbles. What is the probability of picking a red marble, expressed as a simplified fraction?

• 4/10

• 1/2

• 2/5

• 6/10

Multiple Choice

What is the probability of getting a Head on the coin AND an even number on the die?

• 1/4

• 1/2

• 1/6

• 1/12

Multiple Choice

The probability that a train is on time is 0.9. The probability that a different, unrelated bus is on time is 0.8. What is the probability that BOTH the train AND the bus are on time?

• 1.7

• 0.72

• 0.81

• 0.9

Multiple Choice

What percentage of the shape is shaded?

• 75%

• 25%

• 50%

• 100%

Multiple Choice

What percentage of the shape is shaded?

• 95%

• 96%

• 97%

• 98%

Multiple Choice

What percentage of the shape is shaded?

• 100%

• 50%

• 75%

• 0%

Multiple Choice

What percentage is the shaded shape

• 50%

• 40%

• 70%

• 75%

Open Ended

Describe a situation in daily life where calculating a percentage (such as 5%, 10%, or 25%) would be useful.

Multiple Choice

What is the first step when finding 18% of 240 using the core method for percentages?

• Multiply 240 by 18

• Divide 240 by 18

• Divide 240 by 100

• Multiply 240 by 100

Fill in the Blanks

What is 11% of 300?

Fill in the Blanks

What is 5% of 700?

Fill in the Blanks

What is 22% of 400?

Fill in the Blanks

What is 17% of 850?

Multiple Choice

Which of the following is NOT a real-life example of percentage growth?

• Savings accounts

• Loans / credit

• Phone contracts

• Buying groceries

Multiple Choice

Which of the following statements about compound interest is correct?

• Interest is added once per year on the original amount only.

• Interest is added to the new amount each year.

• The same amount is added each year.

• Interest does not grow over time.

Open Ended

Explain the difference between simple interest and compound interest using your own words.

Fill in the Blanks

To calculate a multiplier for a percentage increase, you add the percentage to 100% and then divide by

.

Multiple Choice

Given a 4% decrease, what is the correct multiplier to use?

• 1.04

• 0.96

• 0.94

• 1.06

Multiple Choice

Which of the following steps are correct when calculating compound interest for 2 years at 6% on £300?

• Build the multiplier as 1.06 and apply it each year to the new amount

• Multiply £300 by 1.12 directly

• Add £18 each year to the original amount

• Use 1.06 only once for both years

Fill in the Blanks

Fill in the blank: The multiplier for a 10% decrease is

.

Fill in the Blanks

Fill in the blank: The multiplier for a 16% decrease is

.

Fill in the Blanks

Fill in the blank: The multiplier for a 27% increase is

.

Multiple Choice

A laptop costs £850. Its value decreases by 8% per year. What is its value after 3 years?

• £720.50
• £800.00
• £590.25
• £661.88

Converting between units of measure RECAP

Multiple Choice

Convert 6 m to cm

• 60 cm

• 600 cm

• 6000 cm

• 0.6 cm

Multiple Choice

Convert 5.3 km to m

• 53 m

• 530 m

• 5300 m

• 53000 m

Multiple Choice

Convert 54,000 mm to km

• 0.054 km

• 0.54 km

• 5.4 km

• 54 km

Multiple Choice

Kyle sprinted 17,000 centimeters in a race. How many meters did Kyle run?

• 1.7

• 17

• 1700

• 170

Multiple Choice

Choose the most appropriate unit of measure for the distance traveled by an airplane.

• mm

• dm

• m

• km

Multiple Choice

Choose the most appropriate unit of measure for the width of a sunflower seed.

• mm

• dm

• m

• km

Multiple Choice

4 cm = ___mm

• 400
• 40
• 4
• 4,000

Multiple Choice

Which formula would you use to find speed if you know distance and time?

• Speed = Distance ÷ Time

• Speed = Time ÷ Distance

• Speed = Distance × Time

• Speed = Time × Distance

Multiple Choice

Which formula would you use to calculate the distance traveled by a car if you know its speed and the time taken?

• Distance = Speed × Time

• Speed = Distance ÷ Time

• Time = Distance ÷ Speed

• Distance = Speed + Time

Fill in the Blanks

Fill in the blank: To find the speed, use the formula Speed =

÷ Time.

Open Ended

Explain how you would check if your answer for speed makes sense when solving a speed-distance-time problem.

Multiple Select

Select all the quantities that can be calculated using the formula Time = Distance ÷ Speed.

• Time taken for a journey

• Speed of a vehicle

• Distance covered

• Duration of a trip

Labeling

Fill in the table:

Drag labels to their correct position on the image

120 miles

2 hours

4 km

60 mph

2 hours

Multiple Choice

Joanna drives for 400km at an average speed of 80km/h. How long was her journey?
d=
r=
t=

•  15 hrs long
•  10 hrs long
•  5 hrs long
•  20 hrs long

Math Response

A runner maintains a pace of 7.4 miles per hour for 30 minutes. How many miles did they travel?
HINT: use $$d=r\cdot t$$

Enter only the answer.

Type answer here

Correct Answer: 3.7

Deg^°

Rad

Multiple Choice

What is the speed of a cheetah that travels 112.0 m in 4.0 s?

• 0.0357 m/s
• 28 m/s
• 0.036 m/s
• 28.0 m/s

Multiple Choice

A train travels at 75 mph for 1 hour 40 minutes. How far does it go?

• 125 miles

• 110 miles

• 75 miles

• 100 miles

Multiple Choice

What is the core method for finding percentages as described in the lesson?

• Divide by 100 × the percentage you want

• Multiply by 100 × the percentage you want

• Add 100 to the percentage you want

• Subtract 100 from the percentage you want