EDEXCEL GCSE MATHS · FOUNDATION & HIGHER
Exam Practice: Accuracy
Accuracy · More trigonometry · Lesson 1 of 9 · 16 marks · 25 minutes
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Instructions
• Answer all the questions.
• Write your answers in the spaces provided.
• The marks for each question are shown in brackets - use this as a guide to how much to write.
• The answers are on separate pages at the back. Attempt every question before you look at them.
• Answer all questions. Show your working.
Question 1 WRITE DOWN (2 marks)
x = 7.4 correct to 1 decimal place. Write down the error interval for x.
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(Total for Question 1 = 2 marks)
Question 2 WRITE DOWN (2 marks)
The mass of a parcel is 4600 g, correct to the nearest 100 g. Write down the lower bound and the upper bound of the mass.
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(Total for Question 2 = 2 marks)
Question 3 WRITE DOWN (2 marks)
n is a number rounded to 2 significant figures. The result is 340. Write down the error interval for n.
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(Total for Question 3 = 2 marks)
Question 4 WORK OUT (3 marks)
A rectangle has length 12 cm and width 5 cm, both correct to the nearest centimetre. Work out the upper bound for the area of the rectangle.
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(Total for Question 4 = 3 marks)
Question 5 WORK OUT (4 marks)
Jo runs 100 m, correct to the nearest metre, in 12.4 seconds, correct to 1 decimal place. Work out the upper bound for her average speed. Give your answer correct to 3 significant figures.
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(Total for Question 5 = 4 marks)
Question 6 EXPLAIN (3 marks)
a = 9.2 and b = 3.1, both correct to 1 decimal place. Work out the lower bound of a − b.
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(Total for Question 6 = 3 marks)
TOTAL FOR PAPER = 16 MARKS
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Answers and mark scheme
Check your answer only once you have written one.
Question 1 (2 marks)
7.35 ≤ x < 7.45
• 7.35 and 7.45 B1
• Correct inequality signs B1
Question 2 (2 marks)
Lower bound 4550 g; upper bound 4650 g.
• 4550 B1
• 4650 B1
Question 3 (2 marks)
335 ≤ n < 345
• 335 and 345 B1
• Correct signs B1
Question 4 (3 marks)
12.5 × 5.5 = 68.75 cm²
• Upper bounds 12.5 and 5.5 B1
• Multiplies M1
• 68.75 A1
Question 5 (4 marks)
100.5 ÷ 12.35 = 8.137... so 8.14 m/s
• Upper bound of distance 100.5 B1
• Lower bound of time 12.35 B1
• Divides M1
• 8.14 A1
Question 6 (3 marks)
9.15 − 3.15 = 6.00 (lower bound of a minus upper bound of b)
• Lower bound of a is 9.15 B1
• Upper bound of b is 3.15 B1
• 6 A1