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Maths Quiz - Decimal Numbers 3 (Difficult) (Questions)

Discover how decimals describe speed, sound, and time. This 11 Plus Maths quiz explores the numbers behind how fast sound travels through air.

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Fascinating Fact:

Sound travels through air at about 343.2 metres per second, which is slower than light but fast enough to reach your ears before your brain catches up.

In 11 Plus Maths, decimals help measure speed, distance, and time. They allow scientists to describe movement precisely, from the speed of sound to the timing of echoes.

Key Terms

Decimal: A number that uses a point to separate whole numbers from fractions, like 343.2.
Speed: The distance an object travels in a set amount of time.
Metre per Second: A unit showing how far something moves every second.

For practice materials and more learning tips, explore our Guide to 11 Plus Sample Questions for Parents .

Frequently Asked Questions (Click to see answers)

How do decimals help measure speed?

Decimals make measurements more exact. For example, 343.2 metres per second is a more accurate value for the speed of sound than simply 343.

Why is sound slower than light?

Sound needs a medium like air or water to travel through, while light can move through empty space. That’s why lightning is seen before thunder is heard.

How do scientists use decimals when studying sound?

Scientists use decimals to record small differences in sound speed, pitch, and echo time, which helps design microphones and musical instruments.

Try These Related Quizzes

1.

What was 10.7856 multiplied by if the answer is 107,856?

[ ]	Ten-thousand
[ ]	One-thousand
[ ]	One hundred-thousand
[ ]	One hundred

2.

How many grams are there in 2.397 tonnes?

[ ]	239,700 g
[ ]	2,397,000 g
[ ]	23,970 g
[ ]	2,397 g

3.

What is 103.274 metres in millimetres?

[ ]	10,327.4 mm
[ ]	1,032.74 mm
[ ]	103,274 mm
[ ]	1,032,740 mm

4.

What is 235 millimetres in metres?

[ ]	0.0235 m
[ ]	23.5 m
[ ]	2.35 m
[ ]	0.235 m

5.

A certain object weighs 9.374,808 tonnes. What is this in kilograms?

[ ]	9,374.808 kg
[ ]	93,748.08 kg
[ ]	937.4808 kg
[ ]	937,480.8 kg

6.

How many cubic centimetres are there in 2.8 cubic metres?

[ ]	28,000 cm³
[ ]	2,800,000 cm³
[ ]	280,000 cm³
[ ]	2,800 cm³

7.

The Eiffel Tower is 0.324 km tall. How high is it in centimetres?

[ ]	3,240,000 cm
[ ]	324,000 cm
[ ]	32,400 cm
[ ]	3,240 cm

8.

How many grams are there in 26.872 kilograms?

[ ]	26.872 g
[ ]	2,687.2 g
[ ]	268.72 g
[ ]	26,872 g

9.

What was 0.00001 multiplied by if the answer is 10?

[ ]	One thousand
[ ]	Ten-thousand
[ ]	One hundred-thousand
[ ]	One million

10.

What was 12,573 divided by if the answer is 0.12573?

[ ]	One thousand
[ ]	Ten-thousand
[ ]	One hundred-thousand
[ ]	One million

Maths Quiz - Decimal Numbers 3 (Difficult) (Answers)

1.

What was 10.7856 multiplied by if the answer is 107,856?

[x]	Ten-thousand
[ ]	One-thousand
[ ]	One hundred-thousand
[ ]	One hundred

The rule for multiplying by a whole number beginning with 1 and followed by one or more zeros, e.g. multiplying by 10, 100, 1,000, ... is as follows: When multiplying by such a number, move the digits to the left by the same number of zeros as in the number: 10,000 × 10.7856 = 107,856: the digits have moved four places to the left = the number of zeros in ten-thousand

2.

How many grams are there in 2.397 tonnes?

[ ]	239,700 g
[x]	2,397,000 g
[ ]	23,970 g
[ ]	2,397 g

There are 1,000 g in 1 kg, and 1,000 kg in 1 tonne. 2.397 x 1,000 x 1,000 = 2,397,000

3.

What is 103.274 metres in millimetres?

[ ]	10,327.4 mm
[ ]	1,032.74 mm
[x]	103,274 mm
[ ]	1,032,740 mm

There are 1,000 mm in 1 m, so in 103.274 m there are 1,000 × 103.274 = 103,274 mm

4.

What is 235 millimetres in metres?

[ ]	0.0235 m
[ ]	23.5 m
[ ]	2.35 m
[x]	0.235 m

There are 1,000 mm in 1 m, so 235 mm ÷ 1,000 = 0.235 m

5.

A certain object weighs 9.374,808 tonnes. What is this in kilograms?

[x]	9,374.808 kg
[ ]	93,748.08 kg
[ ]	937.4808 kg
[ ]	937,480.8 kg

There are 1,000 kg in 1 tonne, so in 9.374,808 tonnes there are 9.374,808 x 1,000 = 9,374.808 kg

6.

How many cubic centimetres are there in 2.8 cubic metres?

[ ]	28,000 cm³
[x]	2,800,000 cm³
[ ]	280,000 cm³
[ ]	2,800 cm³

There are 100 cm in 1 m, so in 1 cubic m there are 100 × 100 x 100 = 1,000,000 cubic cm. In 2.8 cubic m there are 2.8 × 1,000,000 = 2,800,000 cm³

7.

The Eiffel Tower is 0.324 km tall. How high is it in centimetres?

[ ]	3,240,000 cm
[ ]	324,000 cm
[x]	32,400 cm
[ ]	3,240 cm

There are 1,000 m in 1 km, so in 0.324 km there are 0.324 × 1,000 = 324 m.
Next, there are 100 cm in 1 m, so in 324 m there are 324 x 100 = 32,400 cm

8.

How many grams are there in 26.872 kilograms?

[ ]	26.872 g
[ ]	2,687.2 g
[ ]	268.72 g
[x]	26,872 g

There are 1,000 g in 1 kg, so in 26.872 kg there are 1,000 × 26.872 = 26,872 g

9.

What was 0.00001 multiplied by if the answer is 10?

[ ]	One thousand
[ ]	Ten-thousand
[ ]	One hundred-thousand
[x]	One million

For 0.00001 to become 10, the digits will have to move 6 places to the left. You will have to multiply 0.00001 by 1,000,000 - which has 6 zeros

10.

What was 12,573 divided by if the answer is 0.12573?

[ ]	One thousand
[ ]	Ten-thousand
[x]	One hundred-thousand
[ ]	One million

The rule for dividing by a whole number beginning with 1 and followed by one or more zeros, e.g. dividing by 10, 100, 1,000, ... is as follows: When dividing by such a number, move the digits to the right by the same number of zeros as in the number: 12,573 ÷ 100,000 = 0.12573: the digits have moved five places to the right = the number of zeros in one hundred-thousand