NUMBERS

29 – 01 -2014WEDNESDAY

MATHEMATICSYEAR 10

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NAME : …………………………….

1. Round the following questions to 1 decimal place:

a) 3.423 = ………………….b) 48.0719 = ………………….c) 108.9829 = ………………….d) 29.0529 = ………………….e) 90.2931 = ………………….

[5]

2. Round the following questions to 3 significant figures:a) 20932 = ………………….b) 9.2934 = ………………….c) 82.0932 = ………………….d) 300827 = ………………….e) 0.004629 = ………………….

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3. A room measures 6m by 8m to the nearest metre. A carpet tile measures 50cm exactly. What is the maximum number of carpet tiles that need to be bought to cover the floor of the rectangular room?

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4. A television has a flat screen in the shape of a rectangle.The width of the television is 150 cm, measured to the nearest 10 cm.

(a) Work out the lower and upper bound for the width of the television.

Width Upper Bound = ………………………….

Width Lower Bound = ………………………….

The length of the television is 50 cm, measured to the nearest 10 cm.

(b) Work out the lower and upper bound for the area of the television.

Length Upper Bound = ………………………….

Length Lower Bound = ………………………….

Area Upper Bound = ………………………….

Area Lower Bound = ………………………….

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5. A field is 100m wide and 120m long, both lengths have been rounded to the nearest metre.

a) Find smallest possible perimeter

[3]b) Find the largest possible area.

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6. In a class there are 9 people absent with flu. This is 20% of the

class.

a) How many are there in the class when no-one is off ill?

[2]b) How many are in the class today?

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7. Peter works in a shop and was told to increase the prices by 15%.

He increased one price to £172.50. What was the original price?

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8. In July, a miniature railway increased its prices by 25% to £1.50 and visitor numbers in August dropped by 8% to 5520:

a) What was the price in July?

[2]b) How many visitors were there in July?

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9. 5 pizzas cost $60. What will 9 pizzas cost?

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10. 6 stuffed peppers cost $36. What will 12 stuffed peppers cost?

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11. Mr. Jeff divided his money in the ratio 4:2 between Jon and Jack. Jon got smaller amount of 1256 $. How much did Jack receive?

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12. Fatima and Mohammed each buys a bike.

(a) Fatima buys a city-bike which has a price of $120.She pays 60 % of this price and then pays $10 per month for 6 months.(i) How much does Fatima pay altogether?

[2]

(ii) Work out your answer to part (a)(i) as a percentage of the original price of $120.

[2](b) Mohammed pays $159.10 for a mountain-bike in a sale.

The original price had been reduced by 14 %.Calculate the original price of the mountain-bike.

[2](c) Mohammed’s height is 169 cm and Fatima’s height is 156 cm.

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The frame sizes of their bikes are in the same ratio as their heights.The frame size of Mohammed’s bike is 52 cm.Calculate the frame size of Fatima’s bike.

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(d) Fatima and Mohammed are members of a school team which takes part in a bike ride for charity.(i) Fatima and Mohammed ride a total distance of 36 km.

The ratio distance Fatima rides : distance Mohammed rides is 11 : 9. Work out the distance Fatima rides.

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(ii) The distance of 36 km is only 2

23of the total distance the team rides.

Calculate this total distance.

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