英国私校11+必考数学笔试真题大赏析 看看这三所私校的真题题库吧!

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　　海格特公学Highgate School

　　Mathematics 11+ Sample Paper C

　　Question 1

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

　　Some vegetables are being sold at a market.

　　a) Delon buys 17 carrots and 6 turnips.

　　Carrots cost 8p each and turnips cost 13p each.

　　How much did Delon spend in total?

　　Delon spends £_______________________________

　　b) Potatoes are only sold in sacks of 12 potatoes. One of these sacks costs 56p. Stanley has £3.20.

　　How many potatoes can Stanley buy, and how much money does he have left over?

　　Stanley buys__________________potatoes, and has_______________p left over.

　　c) Zane buys 16 red peppers, and receives £8.32 change from a £20 note.

　　What is the price of a pepper?

　　Each red pepper costs _________________pence

　　d) 5 giant mushrooms cost the same as 3 cucumbers.

　　Marvin buys 12 cucumbers for £3.60.

　　What is the cost of 8 giant mushrooms?

　　8 giant mushrooms cost__________________

　　e) Asha sells vegetables at the market. On Monday she sold half of her vegetables. On Tuesday she sold a third of the vegetables she had left.

　　What fraction of her original stock does she have left to sell on Wednesday?

　　Asha has __________________of her vegetables remaining.

　　Question 2

　　Mr Smith is making patterns out of matchsticks. His patterns form a sequence.

　　a) How many matchsticks are needed to make Pattern 7?

　　______________________matches

　　b) Which Pattern is made from 217 matchsticks?

　　Pattern________________

　　Mr Doyle is also making patterns out of matchsticks.

　　c) Explain why it is not possible for Mr Doyle to make a pattern using 144 matchsticks:

　　_____________________________________________________________

　　_____________________________________________________________

　　_____________________________________________________________

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

　　d) Grange Hill School has the same number of pupils in each class, but there are more classes in year 7 than in year 8.

　　Year 7 has 154 pupils, and year 8 has 110 pupils.

　　What is the largest number of pupils which could be in each class?

　　The largest possible number of pupils in a class is___________________________________

　　e) A school teaches French and German. All 165 pupils in year 9 study at least one language. Some pupils study just French, others study just German, and some study both French and German.

　　In total 112 pupils study French, and 92 pupils study German. How many pupils study only one language?

　　__________________________pupils.

　　Question 3

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

　　a) Tanya mixes cranberry juice and lemonade to make a refreshing drink.

　　She uses 3 times more lemonade than cranberry juice to make the drink.

　　Tanya uses 759ml of lemonade.

　　How much of the drink does she make?

　　_________________________ml

　　b) A drink is made by mixing fruit juice with water.

　　39ml of fruit juice is needed to make 600ml of the drink.

　　How much water is needed make 800ml of the drink?

　　_________________________ml

　　c) In a maths test pupils have to answer all 20 questions. 3 marks are awarded for each correct answer, but 1 mark is subtracted for each incorrect answer.

　　Bobby answers 4 more questions correctly than Tim, and between them they score 48 marks in total. How many questions did Tim answer correctly?

　　Tim answers_______________________questions correctly

　　d) In the mathematics puzzles below, the numbers in the square boxes are found by multiplying the two numbers in the circles it is joined to together.

　　Fill in all of the missing numbers in both the circles and the squares. The first puzzle has been solved for you as an example.

　　Question 4

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

　　a) Mr Rossi owns an ice cream van.

　　Yesterday he had 140 customers. 35% of them bought a choc ice.

　　How many people bought a choc ice?

　　__________________customers

　　b) Today Mr Rossi has 430 customers, and 86 of them bought an ice lolly.

　　What percentage of today’s customers bought an ice lolly?

　　_______________________________% customers

　　c) Mr Rossi has a sale on fizzy drinks. He has reduced his prices by 30%. A can of cola now costs 98 pence.

　　What did a can of cola cost before the sale?

　　£_____________________

　　d) Tori bought 5 jelly worms and 7 sherbet dib-dabs for £3.37.

　　Meera bought 5 jelly worms and 2 sherbet dib-dabs for £1.57

　　How much does a jelly worm cost, and how much does a sherbet dib-dab cost?

　　A jelly worm costs_____________________p , a sherbet dib-dab costs__________________p

　　e) Mr Rossi is looking at his monthly accounts.

　　Two fifths of his money was made from selling ice cream.

　　The rest of his money came from selling sweets and from selling fizzy drinks.

　　He made twice as much money from selling fizzy drinks than from sweets.

　　He made £330 from selling fizzy drinks.

　　How much money does he make in total?

　　£________________

　　麦钱特泰勒斯公学Merchant Taylors' School

　　11+MATHEMATICS PRACTICE PAPER

　　说明:

　　回答尽可能多的问题。有些一开始很容易，后来变得更难了。你应该在这张试卷上展示你所有的工作。

　　1. Write down the names of the following shapes:

　　2. Put the following in order of size, with the smallest first.

　　Answer: ………..………….……………………………………………….

　　3. Write the next term in the following sequences:

　　(a) 7, 9, 11, 13, 15, ……….

　　(b) −1, -5, -9, -13, ……….

　　(c) 1, 8, 27, 64, ……….

　　4. Arrange the digits 7, 6, 5, and 4 so that the resulting number is closest to five thousand.

　　Answer: ………..………….…………….

　　5. State whether the following statements are:

　　Certain          Likely               Evens             Unlikely               Impossible

　　(a) You will get a head when you flip a coin.

　　Answer: …………………………………

　　(b) Tomorrow, I will find a £10 note on the floor.

　　Answer: …………………………………

　　(c) The sun will rise tomorrow morning.

　　Answer: ………………………………..

　　6. Here are four statements.

　　7. Four lamp posts are in a straight line. The distance from each post to the next is 25m. What is the distance from the first post to the last?

　　Answer: ………………………m

　　8. (a) Write down all the factors of 36.

　　Answer: …………..…………………………………..………………

　　(b) What is the highest common factor of 36 and 18?

　　Answer: …………….…………….

　　(c) What is the lowest common multiple of 12 and 15?

　　Answer: ………………………….

　　(d) Write down all the prime numbers between 50 and 60.

　　Answer: …………..…………………………………..………………

　　9. A class of pupils were surveyed to find out their favourite number. The results are shown in the bar chart below:

　　(a) Which number was chosen most frequently?

　　Answer: …………….…………….

　　(b) How many pupils were in the class?

　　Answer: …………….…………….

　　10. (a) According to Google, the area of London is 1572km2

　　Round this number:

　　(i) Correct to the nearest 10 km²

　　Answer: …………….…………….km²

　　(ii) Correct to the nearest 100 km²

　　Answer: …………….…………….km²

　　(b) Carpenter ants can measure up to 2.64cm long

　　Round this number:

　　(i) Correct to 1 decimal place.

　　Answer: …………….…………….cm

　　(ii) Correct to the nearest cm.

　　Answer: …………….…………….cm

　　班克罗夫特中学Bancroft’s School

　　11+ EXAMINATION Mathematics Entrance Paper

　　1. Fill the missing numbers in the boxes

　　__________+ 488 = 731 + 489

　　__________x 7 = 43 x 14

　　2. You are told that 1000 ÷ 8 = 125

　　Work out 1000 ÷ 16 Give your answer as a decimal.

　　…………………………

　　Work out 1000 ÷ 32 Give your answer as a decimal.

　　…………………………

　　3. How many seconds are there from 11:45am until 12:10pm on the same day?

　　………………………… seconds

　　4. a) 25% of a number is 2.6

　　What is that number?

　　…………………………

　　Write down the number that the arrow is pointing towards.

　　…………………………

　　c) The sum of two numbers is 35 and their difference is 7.

　　What are the two numbers?

　　..…………… and …………….

　　5. Each number in a sequence is calculated by multiplying the previous number by 3 and then subtracting 7.

　　a) If the first number is 4, what is the fourth number?

　　…………………………

　　b) If the third number is 20, what is the second number?

　　…………………………

　　6. A drinks bottle is 1/3 full of fizzy drink. I drink 40ml of fizzy drink and the bottle is now 1/4 full.

　　How much fizzy drink does the bottle hold when full?

　　………………………… ml

　　7. Travelling by train from Edinburgh to London, I passed a sign saying “London 151 miles”. After 7 more miles, I passed another sign saying “Edinburgh 242 miles”. How far is it by train from Edinburgh to London?

　　………………………… miles

　　8. On Pythagorean Avenue there are 50 houses on the North side of the road. Their numbers go up in twos from 1 to 99.

　　Houses 17 to 41 are all demolished.

　　How many houses are left standing on the North side of Pythagorean Avenue?

　　………………………… houses

　　9. a) What is 60% of 45 plus 40% of 45?

　　…………………………

　　b) What is 40% of 52 take-away 52% of 40?

　　…………………………

　　c) What is 72% of 87 plus 87% of 28?

　　…………………………

　　10. When 12341234 is divided by 23 the remainder is 9.

　　a) What is the remainder when 12341233 is divided by 23?

　　…………………………

　　b) What is the remainder when 12341250 is divided by 23?

　　…………………………

　　c) What is the remainder when 24682468 is divided by 23?

　　…………………………

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