Download Pre year 7 test time 45 min

Page 1 of 12
Maths Entry Assessment for Years 6-8 (P6-S2)
Print off these pages (preferably back-to-back), and write on the paper.
Please do NOT refer to text books or other materials - do the test under "exam conditions".
Post the completed script back to D. Knowles, 12 Lee Crescent, Stretford, MANCHESTER, M32 0TW, UK (preferred).
Or scan (after the test), save as one file (or individual .jpg files, then put into one document or presentation file) and then email.
(NOTE: emailed files should be <1 MB). (The scanning option is intended for students outside Europe and North America).
Equipment needed: pencil and / or pen, eraser, ruler.
Also: compasses, protractor (for question 35 only - you may miss it out, telling me why).
Time Guide: 11/2 hours (for Part A and Part B).
Try to answer ALL the questions in Part A.
If you cannot answer a question, leave it and go onto the next one.
At the end, come back to try again or guess the ones you have missed.
Do NOT use a calculator.
Show all your working.
Name: ____________________
Date of test:
_______
Place of test:
______________
_______
_____
_____
If you took a break (up to 15 min), note how long you took here: _____ min
Date of birth:
START time:
END time:
GOOD LUCK ! :-)
PART A: Years 6 / 7 Maths Questions
1)
7 + 8 =
1) Answer __________
(1)
2)
67 + 38 =
2) Answer __________
(1)
3)
267 + 146 =
3) Answer __________
(1)
4)
5 x 3 =
4) Answer __________
(1)
5)
8 x 7 =
5) Answer __________
(1)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 2 of 12
6)
60 x 3 =
6) Answer __________
(1)
7)
248 x 3 =
7) Answer __________
(2)
8)
20  5 =
8) Answer __________
(1)
9)
168  7 =
9) Answer __________
(2)
10) 32 – 17 =
10) Answer __________
(1)
11) 424 – 275 =
11) Answer __________
(2)
12) Find three quarters of £ 80 :
12) Answer __________
(2)
13) How many minutes are there in 4 hours ?
13) Answer __________
(2)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 3 of 12
14) A fruit bar costs 28 p . How many can I buy with a £ 1 coin ?
Answer __________
(1)
15) Write down the next prime number after 11 :
Answer __________
(1)
16) At 11:55 a.m. a cake is put into the oven. 1 hour 20 min later it is taken
out of the oven. At what time is it taken out of the oven ?
Answer __________
(1)
17) How long does it take to travel 75 miles at 15 mph ?
Answer __________
(2)
18) Give the names of the following shapes:
____________
____________
____________
(3)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 4 of 12
19) Write down the next number in each pattern.
19a) 6 , 12 , 18 , 24 , . . .
Answer __________
19b) 90 , 81 , 72 , 63 ,
...
Answer __________
19c) 1 , 4 , 9 , 16 , . . .
Answer __________
(3)
20)
20a) What fraction of the shape is shaded ?
Answer ______ shaded
20b) What fraction is not shaded ?
Answer ______ unshaded
(2)
21) The machine below multiplies numbers by 7 and then adds 3 :
(A)
IN
times 7
add 3
OUT
Complete the table below:
Example:
IN
5
(A)
35
2
14
OUT
38
6
31
(5)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 5 of 12
22) When shopping Saleh spends $ 4.35 , $ 15.22 and $ 2.98 .
How much has he spent altogether?
Answer $ __________
(2)
23) For 5 hens the number of eggs laid are:
0 , 4 , 2 , 1 , and 3 .
Find the average number of eggs laid by a hen:
Answer __________
(2)
24)
6m
Garden
14 m
Above is a plan of my garden. Find:
24a)
The area of the garden
Answer __________
(2)
24b)
The total length of the fence
(which goes all the way around my garden)
Answer __________
(2)
25) Paul is 5 times as old as Sam. Their ages add up to 24 .
How old is Sam ?
Answer __________
(3)
END OF YEAR 6 / 7 part of test.
MARKS:
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 6 of 12
PART B: Year 8 Maths Questions
This part is OPTIONAL for students in Years 6 and 7.
It would be nice for you to TRY as many questions as you can in this section, thanks !
26) Put the correct symbol < or > between the followings pairs of numbers:
26a) 15
12
26b) - 3
2
26c) - 4
-1
(3)
27) How many coaches each with 56 seats are needed to take 180 pupils
and teachers on a day's outing?
Answer __________ coaches
(2)
28a) Draw any lines of mirror symmetry on the following shapes:
A
28a(i)
28b)
28a(ii)
S
28a(iii)
I
Give the order of rotational symmetry for each shape:
28b(i) ________
28b(ii) ________
28b(iii) ________
(6)
29a) Write down 54 as a product of its prime factors:
29a) Write down 45 as a product of its prime factors:
29c) Work out the highest common factor, HCF of both 54 and 45 :
(5)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 7 of 12
30) Thirty-six children in a class were asked to name their favourite holiday
activity. The results are displayed in the following pie chart:
30a) What fraction of the class liked:
30a(i) "Shopping" ?
______
30a(ii) "Staying late in bed" ?
______
30b) How many children liked "Just chilling" ?
________
(4)
31) Ayesha has a set of 20 different cards, numbered 1 to 20.
She chooses one at random, looks at it, and returns it to the pack.
What is the probability that the number on the card is:
31a) an even number ?
__________
31b) a multiple of 4 ?
__________
31c) a triangular number ?
__________
(6)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 8 of 12
32) Name the solid drawn on the left:
32a) ______________
How many faces, edges and vertices does it
have?
32b) Faces _____
32c) Edges _____
32d) Vertices
_____
32e) Sketch, as accurately as possible, a net of the solid below:
(8)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 9 of 12
33) On the isometric dots, draw a cuboid 2 by 2 by 3 units :
(2)
34a) Complete the following coordinate table:
y = 5 - 2x
x
-1
3
5
7
y
34b) Plot the graph, including axes, on the grid below:
(8)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 10 of 12
35a) In the space below, use a ruler and compasses to construct
triangle ABC so that AB = 6 cm , BC = 4.5 cm , and CA = 8 cm :
35b) Use your protractor to measure angle ACB.
ACB = _______ degrees
(5)
36)
Solve the following equations, showing your working:
36a)
x + 7 = 11
x = ________
36b)
y – 8 = 29
y = ________
36c)
15 z + 10 = 70
z = ________
(4)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 11 of 12
37) The sketch below shows a ladder placed against a wall:
WALL
38a) Draw a scale drawing below.
ladder
7.5 m
Scale ________________
38b) Use your scale drawing to estimate:
38b(i) The actual length of the ladder
2m
Actual length of ladder __________ m
38b(ii) The angle the ladder makes
with the horizontal
Angle ________ o
(6)
38) If d = - 6 , e = 9 and f = 5 , find the values of the following
expressions:
38a) f + d + e
Answer ________
38b) d2 – e2
Answer ________
38c) ¼ (d + e)
Answer ________
(6)
 Dom Knowles
Pre-entry Maths Y6-8 Assessment
Page 12 of 12
39)
Forty-four students were asked about the number of siblings they had.
The table shows the results:
Number of
Siblings
0
1
2
3
4
5
6
7+
Number of
Students
12
12
6
4
5
3
1
1
39a) On the grid below, show these results in a bar-chart
39b) Comment briefly on what this bar chart shows:
(6)
END OF TEST
Well done !
Check that you have not missed any questions.
 Dom Knowles
Pre-entry Maths Y6-8 Assessment