在英国，有这么一所私立女校，它创建于1906年，至今已有100多年的历史，这所学生为社会培养了很多优秀的女性精英，并且它还为学生提供了超现代化的教学设施，比如舞蹈室、戏剧工作室、图书馆、科技馆……这所私校就是莱斯特女子中学，可是入读私校要经过笔试，下面，小编就为大家带来了莱斯特女子中学Leicester High School for Girls year6数学入学考试题库，希望对大家有所帮助：
数学
时间:1小时
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尽可能多地回答问题。把你的答案写在所提供的空白处，并清楚地展示你所有的工作。
1. Calculate
a. 38 + 624 + 170
b. 361- 89
c. £17.23 + £6.58 + 75p
d. 279 x 6
e. 85 ÷ 5
2. A box of 92 Smarties contains only red, green and purple Smarties. If there are 37 red Smarties and 29 green Smarties how many purple Smarties does it contain?
3. Leyla buys a bracelet costing £6.49. If she pays with a £10 note what change should she receive?
4. Jenny is given 3 large jigsaw puzzles for Christmas which get muddled together. The first contains 496 pieces, the second 812 pieces and the third 984 pieces.
By rounding each of these numbers to the nearest 100, write down a simple sum you can do to estimate the total number of jigsaw pieces there are all together.
Sum:
Answer: My estimate of the total number of jigsaw pieces is
5. a. Arrange all these numbers in order of size, writing the smallest first.
540, 452, 524, 425, 504
Answer: smallest _______ _______ _______ ________ _______ largest (3)
b. Using any of the digits 4, 5 and 2 only once in each answer, write down
(i) an even 2 digit number Answer _____ _____ (2)
(ii) the largest 3 digit number possible Answer ____ ____ ____ (2)
(iii) the smallest 2 digit number possible Answer ____ ____ (2)
6. a. Calculate
(i) 15 x 6
Answer _____________ (1)
(ii) 15 x 60
Answer _____________ (1)
(iii) 15 x 1000
Answer _____________ (1)
b. What is 350 ÷ 10
Answer _____________ (1)
c. A length of ribbon is 240 cm long. It is cut into 6 pieces of equal length. What is the length of each piece?
Answer _____________ (2)
7. I think of a number, multiply it by three and add 7. The answer is 25. What is the number I am thinking of?
Answer _____________ (3)
8. a. Write in figures the number ‘sixteen thousand, seven hundred and one’.
Answer _____________ (2)
b. Write in words the number 8014.
Answer ______________________________________________ (2)
c. Write down the number which is 100 more than 3724.
Answer_____________ (2)
d. Write down the number which is 1 less than 1000.
Answer_____________ (2)
9. In the next two questions write a number in the box which will make the statement true.
d. 50% of the trees in a wood are fir trees. If there are 450 trees in the wood, how many fir trees are there?
Answer ____________ (2)
11a. Write down the names of the four shapes in this diagram.
This diagram has a line of symmetry and so shape 4 is a special type of triangle.
Complete this statement: shape 4 is an ______________ triangle. (4)
b. Draw all the lines of symmetry on the two diagrams below.
c. Complete the shaded shape on the diagram below to make the dotted line a line of symmetry.
12 a. This diagram shows two angles A and B. One is acute and one is obtuse. Complete the statement below with the letter A or B.
4. IMPOSSIBLE - UNLIKELY - EVENS - LIKELY - CERTAIN
Which of the above words best describes the following probabilities:
i. If I buy a national Lottery ticket today I will win the jackpot prize with it.
Answer ________________(1)
ii. I will know the correct answer to the sum 2+ 2 =
Answer ________________ (1)
iii. The next baby born at the Leicester Royal Infirmary is a boy.
Answer ________________ (1)
15.This temperature chart shows the temperature taken at 6 hour intervals one day in January.
a. What is the temperature at midnight?
Answer ______________°C (1)
b. What was the rise in temperature Between 6am and noon?
Answer ___________C (3)
c. Show the time 1800 hours in this clock face.
16. Part of the TV programme schedule for Saturday morning is shown below.
8.25 Rugrats
8.50 Smart Guy
9.15 Live and Kicking
12.10 BBC News; Weather
a. For how many minutes does the programme Smart Guy last?
Answer ____________ (1)
b. Carla wants to record Live and Kicking. She thinks that the 180 minute tape she has will be long enough. How many spare minutes will be left on the tape after recording Live and Kicking.
c.
Answer _____________ (2)
17 a. Measure the dimensions of this rectangle giving your answers to the nearest whole centimetre.
i. length _____________cm
ii. breadth ____________cm
b. Using these answers, calculate the perimeter of the rectangle above.
Answer _______________ cm (2)
c. Calculate the area of the rectangle above. Write down the units of your answer.
Answer_______________ (3)
18. Write down the next two numbers in the following sequences:
a. 7, 14, 21, 28, _______, _______. (1)
b. 3, 6, 12, 24, _______, _______. (2)
c. 50, 41, 33, 26, _______, _______. (2)
19. Look carefully at this number pattern:
Line 1: 1 x 1 + 3 = 4
Line 2: 2 x 2 + 5 = 9
Line 3: 3 x 3 + 7 = 16
a. Write down the next two lines of the pattern.
Line 4: ____ x____ + ____ = _____
Line 5: ____ x ____ + ____ = _____
b. The numbers in the final column are special numbers. What is the name of these special numbers?
Answer _________________ (1)
20. Hannah has 4 pieces of string of lengths 1m, 2m, 3m and 5m.
She can join them together to make other lengths e.g. to make 4m she can use 1m + 3m.
She can use two or more pieces each time.
a. Which pieces should she use to make the following lengths?
i. 7m _______________ (1)
ii. 9m _______________ (1)
What is the longest length she can make?
Answer _________m (1)
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