CAMBRIDGE IGCSE MATHS (0580)

Question 1: The sides of a rectangle are 6.3 cm and 4.8 cm, each correct to 1 decimal place. Calculate the upper bound for the area of the rectangle.

Question 2: The diagram shows a quadrilateral. The lengths of the sides are given to the nearest centimetre. Calculate the upper bound of the perimeter of the quadrilateral.

Question 3: A large water bottle holds 25 litres of water correct to the nearest litre. A drinking glass holds 0.3 litres correct to the nearest 0.1 litre. Calculate the lower bound for the number of glasses of water which can be filled from the bottle.

Question 4: The number of spectators at the 2010 World Cup match between Argentina and Mexico was 82,000 correct to the nearest thousand. If each spectator paid 2600 Rand (R) to attend the game, what is the lower bound for the total amount paid? Write your answer in standard form.

Question 5: A carton contains 250 ml of juice, correct to the nearest millilitre.
Complete the statement about the amount of juice, j ml, in the carton:
_________ ≤ j < ____________

Question 6: An equilateral triangle has sides of length 16.1 cm, correct to the nearest millimetre.
Find the lower and upper bounds of the perimeter of the triangle.

Question 7: Joe measures the side of a square correct to 1 decimal place.
He calculates the upper bound for the area of the square as 37.8225 cm².
Work out Joe's measurement for the side of the square.

Question 8: The length, p cm, of a car is 440 cm, correct to the nearest 10 cm.
Complete the statement about p.
_________ <= p < ____________

Question 9: The mass of 1 cm³ of copper is 8.5 grams, correct to 1 decimal place.
Complete the statement about the total mass, T grams, of 12 cm³ of copper.
_____________ <= t < ___________

Question 10: A circle has a radius of 8.5 cm correct to the nearest 0.1 cm. The lower bound for the area of the circle is pπ cm². The upper bound for the area of the circle is qπ cm².
Find the value of p and the value of q.

Question 11: A rectangle has length 127.3 cm and width 86.5 cm, both correct to 1 decimal place. Calculate the upper bound and the lower bound for the perimeter of the rectangle.

Question 12: The length, l metres, of a football pitch is 96 m, correct to the nearest metre. Complete the statement about the length of this football pitch:
_________ ≤ l < _________

Question 13: For her holiday, Alyssa changed 2800 Malaysian Ringgits (MYR) to US dollars ($) when the exchange rate was 1 MYR = $0.325. At the end of her holiday, she had $210 left.

(a) How many dollars did she spend?
Answer(a) $

(b) She changed the $210 for 750 MYR. What was the exchange rate in dollars for 1 MYR?
Answer(b) 1 MYR = $

Question 14: One year ago, Ahmed's height was 114 cm. Today his height is 120 cm. Both measurements are correct to the nearest centimetre. Work out the upper bound for the increase in Ahmed's height:

Question 15: An equilateral triangle has sides of length 6.2 cm, correct to the nearest millimetre. Complete the statement about the perimeter, P cm, of the triangle:
______ ≤ P < ___________

Question 16: A rectangle has length 5.8 cm and width 2.4 cm, both correct to 1 decimal place. Calculate the lower bound and the upper bound of the perimeter of this rectangle.

Question 17: The base of a triangle is 9 cm, correct to the nearest cm. The area of this triangle is 40 cm², correct to the nearest 5 cm². Calculate the upper bound for the perpendicular height of this triangle.

Question 18: The volume of a cuboid is 878 cm³, correct to the nearest cubic centimetre. The length of the base of the cuboid is 7 cm, correct to the nearest centimetre. The width of the base of the cuboid is 6 cm, correct to the nearest centimetre. Calculate the lower bound for the height of the cuboid.

Question 19: The sides of an equilateral triangle are 9.4 cm, correct to the nearest millimetre. Work out the upper bound of the perimeter of this triangle.

Question 20: (a) V = IR In an experiment I and R are both measured correct to 1 decimal place. When I = 4.0 and R = 2.7, find the lower bound for V.

Answer(a):

(b) S = D / T In an experiment D and T are both measured correct to 2 significant figures. When D = 7.6 and T = 0.23, find the upper bound for S.

Answer(b):

Question 21: The sides of a square are 8 cm, correct to the nearest centimetre. Calculate the upper bound for the area of the square.

Question 22: The length of a car is 4.2m, correct to 1 decimal place. Write down the upper bound and the lower bound of the length of this car.

Question 23: A rectangle has length 62 mm and width 47 mm, both correct to the nearest millimetre. The area of this rectangle is 4 mm². Complete the statement about the value of A:
______ ≤ A < _______

Question 24: The diagram shows three identical cuboids in a tower. The height of one cuboid is 6.5 cm, correct to the nearest millimetre. Work out the upper bound of the height of the tower.

Question 25: Saafia has a barrel containing 6000 millilitres of oil, correct to the nearest 100 ml. She uses the oil to fill bottles which each hold exactly 50 ml. Calculate the upper bound for the number of bottles she can fill.