作为英国顶尖的私立混校,帕克林顿学校创建于1514年,距今已有500多年的历史,该校拥有着优美怡人的学习环境,还配备了先进的教学设备,为社会培养了数代的优秀青年,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,小编就为大家带来了帕克林顿学校Pocklington School year 7数学入学考试题库,希望对大家有所帮助:
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Questions
Q1.
(a) Work out 27 + 38
..............................................................................................................................................
(b) Work out 202 – 75
..............................................................................................................................................
(c) Work out 2 × 3 × 5
..............................................................................................................................................
Q2.
Here are some prices in a café.
Jack orders
2 teas
1 coffee
1 toast
1 bacon sandwich
Jack only has a £10 note.
Does he have enough money to pay the bill?
You must show how you get your answer.
Q3.
Here is a map of Great Britain.
The map shows the temperatures in some cities at midnight on 20th January.
(a) Which city had the lowest temperature at midnight?
...........................................................
In Brighton, the temperature rose by 5°C between midnight on 20th January and midday on 21st January.
(b) What was the temperature in Brighton at midday on 21st January?
........................................................... °C
At midnight on 20th January, the temperature in Nottingham was halfway between the temperature in Truro and the temperature in Edinburgh.
(c) What was the temperature in Nottingham?
........................................................... °C
Q4.
(a) Work out the value of 5 × 2 + 8
..............................................................................................................................................
(b) Work out the value of (13 – 6) × 2
..............................................................................................................................................
Q5.
..............................................................................................................................................
Q6.
(b) Write 0.3 as a fraction.
...........................................................
Q7.
Write the following numbers in order of size.
Start with the smallest number.
0.4 0.02 0.37 0.152 0.2
......................................................................................................................
Q8.
Write down the value of the 7 in the number 8765
...........................................................
Q9.
(a) Write the number five thousand nine hundred and six in figures.
...........................................................
(b) Write the number 7162 to the nearest hundred.
...........................................................
(c) Write the number 27.53 to the nearest whole number.
...........................................................
Q10.
In the space below, draw a hexagon.
Q11.
Here are two 3-D shapes.
(a) Write down the mathematical name of
(i) Shape A,
..............................................................................................................................................
(ii) Shape B.
..............................................................................................................................................
Q12.
Reflect the shaded shape in the mirror line.
Q13.
The length of a rectangle is twice as long as the width of the rectangle.
The area of the rectangle is 32 cm2
Draw the rectangle on the centimetre grid.
Q14.
Peter writes down the following
160.5 ÷ 4 = 120.3
Without doing the exact calculation, explain why Peter's answer cannot be correct.
.............................................................................................................................................
.............................................................................................................................................
Q15.
The diagram shows a temperature gauge.
How many degrees does the temperature have to rise to get to the danger zone?
..............................................................................................................................................
Q16.
(a) Convert 1300 ml to litres
...........................................................
(b) Convert 1.3cm to m
...........................................................
Q17.
A film starts at 1830
The film ends at 2050
How long does the film last?
...........................................................
Q18.
Here is part of an accurately drawn map showing two towns, Appleton and Blickford.
Find, in kilometres, the real distance between Appleton and Blickford.
........................................................... km
Q19.
The pictogram shows the numbers of parcels delivered to some houses on Monday, Tuesday and Wednesday.
(a) Write down the number of parcels delivered on Tuesday.
..............................................................................................................................................
(b) Write down the number of parcels delivered on Wednesday.
..............................................................................................................................................
24 parcels were delivered on Thursday.
18 parcels were delivered on Friday.
(c) Use this information to complete the pictogram.
Q20.
A teacher took some students on an Outdoor Activity trip.
Each student chose one activity to do.
The bar chart shows some information about the activities chosen.
(a) Which activity did most boys choose?
. . . . . . . . . . . . . . . . . . . . . .
(b) How many boys went on the Outdoor Activity trip?
. . . . . . . . . . . . . . . . . . . . . .
7 girls went sailing.
(c) Complete the bar chart.
Q21.
Sammy spins a fair 4-sided spinner.
(i) On the probability scale, mark with a cross (×) the probability that the spinner will land on B.
(ii) On the probability scale, mark with a cross (×) the probability that the spinner will land on F.
Q22.
The pie charts show some information about the numbers of matches won, drawn and lost by a cricket team and by a hockey team last year.
The cricket team won 15 matches.
How many matches did the cricket team lose?
..............................................................................................................................................
THE QUESTIONS ON THE NEXT PAGES ARE DESIGNED TO BE MORE CHALLENGING AND YOU MAY NOT HAVE TIME TO FINISH THEM
E1.
Norman sells the same type of potatoes in bags of different weights.
Norman says the 500 g bags of potatoes give the best value for money.
(a) Is Norman correct?
Show why you think this.
Show a check of your working.
Use the space below to show clearly how you get your answer
Norman is going to put mirror strips around 3 sides of his display shelf.
His display shelf has 1 side of length 45 feet and 2 sides each of length 12 feet.
The mirror strips are all of length 3 feet.
Norman buys 25 mirror strips.
(b) Does Norman have enough mirror strips to go around all 3 sides of the shelf?
Use the space below to show clearly how you get your answer.
E2.
Kyle needs to buy some floor cleaning fluid.
He finds these two offers.
Kyle wants to buy 24 bottles of the cleaning fluid.
He wants to spend as little as possible.
Which offer should Kyle choose?
Use the space below to show clearly how you get your answer
E3.
Reece goes to see a film at the cinema.
He wants to buy a large drink and a large popcorn.
Reece sees this price list and a special offer.
(a) How much will Reece save using the special offer to buy his large drink and large popcorn? Show a check of your working.
Use the space below to show clearly how you get your answer.
Reece wants to know what time he will get to the bus stop after the film finishes.
The film
starts at 3.30 pm
lasts for 135 minutes.
It will take Reece 10 minutes to get to the bus stop from when the film finishes.
Reece thinks he will get to the bus stop at 5.50 pm.
(b) Is Reece correct?
Show why you think this.
Use the space below to show clearly how you get your answer.
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