Edexcel GCSE Maths · N13–N16

Measures and accuracy

50 maths questions with worked answers with answers for N13–N16 Measures and accuracy in Edexcel GCSE Maths (spec 1MA1). Practise with flashcards, a topic quiz, a random quiz across the course, 5 crosswords, or read every question and answer below. Not official Pearson material.

All 50 questions and answers

Question 1 · Units · N13
Convert 3.75 kg to grams.
Answer:
1 kg = 1000 g.
3.75 × 1000 = 3750 g.
Question 2 · Units · N13
Convert 2450 m to km.
Answer:
1 km = 1000 m.
2450 ÷ 1000 = 2.45 km.
Question 3 · Units · N13
Convert 4.2 litres to millilitres.
Answer:
1 litre = 1000 ml.
4200 ml.
Question 4 · Time · N13
Write 2.4 hours in hours and minutes.
Answer:
0.4 hours = 0.4 × 60 = 24 minutes.
2 hours 24 minutes.
Question 5 · Time · N13
A film starts at 19:45 and lasts 2 hours 35 minutes. When does it finish?
Answer:
19:45 + 2 hours = 21:45.
21:45 + 35 minutes = 22:20.
Question 6 · Money · N13
Which is better value: 6 eggs for £1.50 or 10 eggs for £2.40?
Answer:
6 for £1.50 is 25p each; 10 for £2.40 is 24p each.
10 eggs for £2.40 is better value.
Question 7 · Compound measures · N13
A car travels 150 km in 2.5 hours. Find its average speed.
Answer:
Speed = distance ÷ time.
150 ÷ 2.5 = 60 km/h.
Question 8 · Compound measures · N13
A metal block has mass 540 g and volume 200 cm³. Find its density.
Answer:
Density = mass ÷ volume.
540 ÷ 200 = 2.7 g/cm³.
Question 9 · Compound measures · N13
A force of 60 N acts on an area of 0.5 m². Find the pressure.
Answer:
Pressure = force ÷ area.
60 ÷ 0.5 = 120 N/m².
Question 10 · Units · N13
Convert 72 km/h to m/s.
Answer:
72 km/h = 72 000 m in 3600 s.
72 000 ÷ 3600 = 20 m/s.
Question 11 · Estimation · N14
Estimate 48.7 × 3.10.49.
Answer:
Round each number to 1 s.f.: 50 × 30.5.
1500.5 = 300.
Question 12 · Estimation · N14
Estimate 612 × 0.19.
Answer:
Round: 600 × 0.2.
120.
Question 13 · Estimation · N14
Estimate √(98.7).
Answer:
√100 = 10.
About 10 (slightly less).
Question 14 · Estimation · N14
Estimate the cost of 29 tickets at £11.95 each.
Answer:
Round: 30 × £12.
About £360.
Question 15 · Checking · N14
Is 3.8 × 21.2 = 805.6 reasonable? Explain.
Answer:
Estimate 4 × 20 = 80.
No; the answer should be about 80 (it is 80.56).
Question 16 · Estimation · N14
Estimate 7.9²2.1.
Answer:
Round: 8²2 = 642.
32.
Question 17 · Rounding · N15
Round 4.7362 to 2 decimal places.
Answer:
The third decimal digit is 6, so round up.
4.74.
Question 18 · Rounding · N15
Round 38 472 to 2 significant figures.
Answer:
The third significant digit is 4, so round down.
38 000.
Question 19 · Rounding · N15
Round 0.0506 to 1 significant figure.
Answer:
The first significant digit is 5; the next is 0.
0.05.
Question 20 · Rounding · N15
Round 0.08964 to 3 significant figures.
Answer:
The digits are 8, 9, 6 then 4.
0.0896.
Question 21 · Rounding · N15
Round 9.996 to 2 decimal places.
Answer:
The third decimal digit is 6, so 9.99 rounds up.
10.00.
Question 22 · Error intervals · N15
A length is 7.4 cm to 1 decimal place. Write its error interval.
Answer:
Half of 0.1 is 0.05.
7.35 ≤ l < 7.45.
Question 23 · Error intervals · N15
A mass is 600 g to the nearest 100 g. Write its error interval.
Answer:
Half of 100 is 50.
550 ≤ m < 650.
Question 24 · Truncation · N15
x = 5.8 truncated to 1 decimal place. Write the error interval for x.
Answer:
Truncation removes digits, so x could be up to but not including 5.9.
5.8 ≤ x < 5.9.
Question 25 · Error intervals · N15
n = 40 to 1 significant figure. Write its error interval.
Answer:
Half of 10 is 5.
35 ≤ n < 45.
Question 26 · Rounding · N15
Round 2.505 to the nearest whole number.
Answer:
The first decimal digit is 5, so round up.
3.
Question 27 · Rounding · N15
Give 7 ÷ 3 to 3 significant figures.
Answer:
7 ÷ 3 = 2.3333….
2.33.
Question 28 · Bounds · N16 · Higher only
A rectangle is 6 cm by 4 cm, each to the nearest cm. Find the upper bound of its area.
Answer:
Upper bounds: 6.5 cm and 4.5 cm.
6.5 × 4.5 = 29.25 cm².
Question 29 · Bounds · N16 · Higher only
a = 12 to the nearest whole number and b = 3 to the nearest whole number. Find the upper bound of a ÷ b.
Answer:
Use the largest a and the smallest b: 12.5 ÷ 2.5.
5.
Question 30 · Bounds · N16 · Higher only
A runner covers 100 m (to the nearest m) in 12.0 s (to 1 d.p.). Find the lower bound of the speed.
Answer:
Use the smallest distance and the largest time: 99.5 ÷ 12.05.
8.257… ≈ 8.26 m/s.
Question 31 · Bounds · N16 · Higher only
x = 8.6 to 1 d.p. and y = 2.3 to 1 d.p. Find the lower bound of x − y.
Answer:
Use the smallest x and the largest y: 8.55 − 2.35.
6.2.
Question 32 · Bounds · N16 · Higher only
Why should a final answer be given to a suitable degree of accuracy using bounds?
Answer:
Give the answer to the accuracy on which the upper and lower bounds agree.
For example, if bounds are 8.257 and 8.296, both round to 8.3 to 1 d.p.
Question 33 · Units · N13
How many cm² are in 1 m²?
Answer:
1 m = 100 cm.
100 × 100 = 10 000 cm².
Question 34 · Units · N13
Convert 3 m³ to cm³.
Answer:
1 m³ = 100 × 100 × 100 cm³.
3 000 000 cm³.
Question 35 · Units · N13
Convert 45 000 cm² to m².
Answer:
Divide by 10 000.
4.5 m².
Question 36 · Compound measures · N13
Water flows at 12 litres per minute. How long does it take to fill a 300-litre tank?
Answer:
Time = volume ÷ rate.
300 ÷ 12 = 25 minutes.
Question 37 · Compound measures · N13
A worker earns £11.40 per hour. How much does she earn for 37.5 hours?
Answer:
11.40 × 37.5.
£427.50.
Question 38 · Compound measures · N13
A car travels at 48 mph for 45 minutes. How far does it go?
Answer:
45 minutes = 0.75 hours.
48 × 0.75 = 36 miles.
Question 39 · Compound measures · N13
A gold bar has density 19.3 g/cm³ and volume 50 cm³. Find its mass.
Answer:
Mass = density × volume.
19.3 × 50 = 965 g.
Question 40 · Estimation · N14
Estimate the mean of 19, 21, 38 and 41.
Answer:
Round: 20, 20, 40 and 40, total 120.
120 ÷ 4 = 30.
Question 41 · Units · N13
Convert 8 feet to centimetres, using 1 foot ≈ 30 cm.
Answer:
8 × 30.
About 240 cm.
Question 42 · Units · N13
Convert 5 miles to km, using 5 miles ≈ 8 km.
Answer:
The conversion is given directly.
About 8 km.
Question 43 · Rounding · N15
Round 3 23 to 1 decimal place.
Answer:
323 = 3.666….
3.7.
Question 44 · Rounding · N15
Round 1259.6 to the nearest ten.
Answer:
The units digit is 9, so round up.
1260.
Question 45 · Estimation · N14
Estimate 40119.8.
Answer:
Round: 40020.
20.
Question 46 · Bounds · N16 · Higher only
The side of a square is 5 cm to the nearest mm. Find the lower bound of its perimeter.
Answer:
Lower bound of side = 4.95 cm.
4 × 4.95 = 19.8 cm.
Question 47 · Bounds · N16 · Higher only
A tank holds 200 litres to the nearest 10 litres. Buckets hold 5 litres to the nearest litre. What is the greatest number of full buckets the tank could fill?
Answer:
Use the largest tank and the smallest bucket: 205 ÷ 4.5 = 45.55….
45 full buckets.
Question 48 · Time · N13
Convert 315 minutes to hours and minutes.
Answer:
315 ÷ 60 = 5 remainder 15.
5 hours 15 minutes.
Question 49 · Bounds · N16 · Higher only
p = 4.2 to 1 d.p. and q = 0.6 to 1 d.p. Find the upper bound of p ÷ q.
Answer:
Use the largest p and the smallest q: 4.25 ÷ 0.55.
7.727… ≈ 7.73.
Question 50 · Compound measures · N13
A cyclist travels 9 km at 18 km/h. How long does the journey take in minutes?
Answer:
Time = distance ÷ speed = 9 ÷ 18 = 0.5 hours.
30 minutes.

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