海格特学校Highgate School year7数学入学考试笔试题 内附标准答案哟!

　　作为英国一所历史悠久、教学实力强大的私立混校，海格特学校的课程种类丰富，该校非常注重培养学生的独立思考的能力及创造力，并且该校的艺术氛围非常浓厚，音乐、美术与戏剧教学非常优异，因此，越来越多的学生去该校留学，可是，入读私校要经过笔试，下面，小编就为大家带来了海格特学校Highgate School year7数学入学考试笔试题，希望对大家有所帮助：

　　11+数学

　　在回答每个问题之前仔细阅读。记得清楚地展示你所有的工作。

　　把答案写在所给的方框里。

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　　如果你已经完成了一个问题，花一点空余时间在那一页上检查你的答案:你以后将不允许回到那个问题。

　　如果你发现一个问题的一部分很难，不要担心:跳过它，试试下一个。

　　考试时间约为45分钟。

　　Question 1

　　Remember to include your working to show us how you find your answers.

　　The following questions are about a butcher’s shop.

　　a) Karim buys 7 burgers and 5 steaks.

　　Burgers cost 61p each and steaks cost 84p each.

　　How much did Karim spend in total?

　　b) Sausages come in packs of 8. Each pack costs £1.30

　　James spends £9.10 on sausages. How many sausages did James get?

　　c) Tyler buys 16 chicken wings, and receives £14.72 change from a £20 note.

　　What is the price of a chicken wing?

　　d) The butcher also sells slices of turkey.

　　Donald buys three quarters of the slices in the shop. Alisha then buys a sixth of the remaining slices.

　　Alisha bought 3 slices. How many slices did Donald buy?

　　e) Lamb chops are three times more expensive than pork chops.

　　Tina buys a lamb chop and a pork chop. She spends £4.80 in total.

　　How much do lamb chops and pork chops cost?

　　Question 2

　　Remember to include your working to show us how you find your answers.

　　Mr Green’s garden is a mixture of lawn, patio and flower beds. A plan of the garden is shown below, with some (but not all) of the measurements.

　　The picture is not drawn to scale.

　　a) What is the area covered by Mr Green’s lawn?

　　b) Mr Green buys 6 flower pots. Flower pots cost £4.00 each.

　　Mr Green has a voucher for “15% off ”.

　　How much does Mr Green spend on flower pots if he uses the voucher?

　　c) Mr Green wants to lay paving stones on his patio.

　　The stones are rectangles measuring 50 cm x 20 cm.

　　How many paving stones are needed to pave the patio?

　　d) The area of the flower bed is 60m2.

　　One sack of fertilizer is needed for every 4m2 of flower bed.

　　Sacks cost £10 each, but are on offer:“buy four sacks and get a fifth sack free”.

　　How much does it cost to fertilize the flower bed?

　　Question 3

　　a) Tim is going paintballing. Entry into paintballing costs £23, but then you also have to pay £6 per 100 paintballs that you use.

　　Tim spent £65 in total. How many paintballs did he use?

　　b) Janice is running a bath. She mixes hot water with cold water to make sure the temperature is just right.

　　She uses 5 times more hot water than cold water. Janice’s bath holds 90 litres of water in total. How much hot water does she use?

　　c) Bob the Builder is filling a hole with a mixture of gravel and sand.

　　234kg of sand are needed to make 400kg of the mixture.

　　Bob makes 1000kg of the mixture.

　　How much gravel does Bob need?

　　d) In the picture below, rectangle A has an area of 70cm², and rectangle B has an area of 63cm². The side lengths of the rectangles are whole numbers.

　　The sides labelled X and Y are both longer than 1cm.

　　e) Victoria the vet is weighing her pets.

　　Her rabbit and her cat together weigh 10kg.

　　Her cat and her dog together weigh 24kg.

　　Her dog and her rabbit together weigh 20kg.

　　How much do all 3 of her pets weigh when weighed together?

　　Question 4

　　Remember to include your working to show us how you find your answers.

　　a) In the town of Mathsville there are 360 residents.

　　45% of the residents are children, the rest are adults.

　　How many adults are there in Mathsville?

　　b) Numbertown Primary School has 280 pupils. 56 of these pupils are girls.

　　What percentage of the pupils are boys?

　　c) The price of a bus ticket from Mathsville to Numbertown has increased by

　　50% in the past year. A bus ticket now costs £1.80

　　What did it cost a year ago?

　　d) Mathsville Maths Supplies is a shop selling maths equipment.

　　Tina bought 4 calculators and 3 protractors for £16.10

　　Ahmed bought 2 calculators and 1 protractor for £7.50

　　How much does a calculator cost, and how much does a protractor cost?

　　e) Football is very popular in Numbertown.

　　Two fifths of the population support London Mathletic.

　　The rest support either Mathsville United or the Counting Crows.

　　Twice as many people support Mathsville United than support the Counting Crows.

　　500 people support the Counting Crows.

　　What is the total population of Numbertown?

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