Download Level 2 - Deans Community High School

Mathematics Assessment (CfE) - Level 2
End of Level DIAGNOSTIC Assessment
Name ............................................................. Date ................... Teacher’s Name ...................................
1.
Round to the nearest 1000 :-
8499
2.
The answer to 6529 + 2387 is about 6500 +
3.
Write the number that comes :-
29672
which equals
500 after 8800
200 before 19 100
4.
Write the number 903 070 in words :-
5.
Find the following :3890
+ 470
6.
9000
– 789
15 973 + 8609
17 200 – 9851
Find the following :3152
x 7
7.
.
15 080 x 8
73 465 ÷ 5
6
8274
Nine bowling pins weigh 7551 grams.
What is the weight of 1 pin ?
8.
To what numbers do these arrows point ?
370
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380
5·2
5·3
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0·3
0·4
0·5
Level 2 Diagnostic Assessment
9.
Write down the answers to the following :2356 x 100
230 000 ÷ 1000
123 x 4000
8 260 000 ÷ 2000
10. I am thinking of a number. When I multiply it
by 30 and add on 100 the answer is 1300.
What was the number I was thinking of ?
11. Round :-
19·812 to the nearest whole number.
8·042 to 1 decimal place.
4·9976 to 2 decimal places.
12. Do the following :19·8 + 2·77
121·83 – 35·9
8·07 x 6
31·27 ÷ 2
13. Find :-
23·8251 x 1000
14. Find :-
19·8 ÷ 100
10 – 2 x 3
28 + 12 ÷ 4 - 7
15. What is the temperature on this thermometer ?
–30°C
16. Find :-
–20°C
8 – 10
–10°C
–3 + 11
0°C
10°C
5 + (–7)
(-11) – 6
17. Write down the next two numbers in these patterns :12, 15, 18, 21,
13, 9, 5,
69, 61, 53, 45,
1,
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1, 3, 9, 27,
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Level 2 Diagnostic Assessment
18. Write down the first six multiples of 7.
19. Write down all the factors of 24.
20. Write down all the prime numbers between 10 and 30.
21. What fraction of this shape is shaded ?
22. What fraction of these buttons are red ?
23. What percentage of this square has been shaded ?
24.
In this flag, 30% of it is red, 45% is white
and the rest is blue. What percentage is blue ?
25. Write down any fraction equivalent to 78 .
26. Simplify the fraction 20
as far as possible.
35
27. What is 56 of £3·60 ?
28. Re-write these numbers in order, puting the largest first
3
5
, 70%, 0·65.
29. Express 35% as a fraction, simplifying it as far as possible.
30. Find 25% of £2·40.
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Level 2 Diagnostic Assessment
31. 48 out of the 60 people at a gathering are teachers.
What percentage is this ?
32. Jane has two £20 notes and a £5 note in her purse.
She buys 2 DVDs at £9·50 each, 3 CD’s at £5·75
each and a book costing £7·50.
Will she then have enough left over to buy a coffee
costing £1·50 ? (Explain your answer).
33. Which of these biscuit packs gives the better deal ?
(Explain your answer)
KKiittss
t
t
a
a
KK
iittss
K
K
t
t
a
KKa
Pack of 6 - 96p
Pack of 8 - £1·20
34. I changed £400 into Euros when the rate was :-
£1 = €1·20
How many euros will I receive ?
35. A shopkeeper bought in 10 pairs of boots for £225.
She sold them all at £35 per pair.
How much profit did she make altogether ?
36. I went to bed at 20:48. Write this in 12 hour form, using am or pm.
37. Change 205 seconds into minutes and seconds.
38. I read two chapters of a book. The first took me 4 mins 45 secs.
The second took 5 mins 35 secs.
How long did it take me altogether to read both chapters ?
39. Linford ran a mile in 4 mins 10·35 seconds.
Christie ran it in the time shown on the stopwatch.
Who was faster and by how much ?
min sec
4
8
1
100
55
Christie
40. I started gaming on my X-Box at 17:20 and finished at 20:10.
For how long was I gaming ?
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Level 2 Diagnostic Assessment
41. I cycled the 60 miles from my house to the coast.
It took me exactly 4 hours.
Calculate my average speed.
42. Estimate the height of the teacher’s desk in centimetres.
43. Estimate the area
2
of this shape in cm .
44. Measure this line and express your answer in 3 different ways.
45. Change 2 metres 8 centimetres to centimetres.
46. Change 3020 grams to kilograms and grams.
47. How many millilitres are there in 2 41 litres ?
48. If I walk 800 metres of the 3 12 kilometres to my house,
how much further have I to go ?
49. Write down the areas of these two shapes :-
6 cm
5·5 cm
8 cm
10 cm
50. The perimeter of this triangle is 38 cm.
Calculate the length of the 3rd side.
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10 cm
18 cm
11 cm
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Level 2 Diagnostic Assessment
51. How many litres will this
container hold when full ?
8 cm
10 cm
25 cm
52. This table shows the connection between the number of table tennis balls
bought (T) and the cost of buying them (C). Find the formula connecting them.
Number of table tennis balls (T)
1
2
3
4
5
Cost in pence (C)
15
30
45
60
75
C = ................
53. This table shows the connection between cost (£C) of hiring a cement mixer
and the number of days hired (D). Find the formula connecting them.
Number of days (D)
1
2
3
4
5
Cost in pounds (£C)
20
24
28
32
36
C = .......... + .......
54. Solve these equations for x.
x–3=7
4x = 32
3x + 4 = 19.
55. Write down all the solutions for y ≤ 1 from
the set of possibilities - {–3, –2, –1, 0, 1, 2, 3}.
56. Write down three things that make a square different from a rhombus.
57. How many edges has a triangular prism ?
58. Which one of these is NOT the net of a cube ?
A
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B
C
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D
Level 2 Diagnostic Assessment
59. What type of angles are these ?
60. Measure these angles and write down their sizes :-
61. On a compass, what direction is directly opposite North East ?
62. Measure and write down the
bearing of Accrinton from
Homebase.
N
Homebase
Accrinton
75 m
35 m
63.
I want to make a scale drawing of this plot of land on this page.
Which would be the most appropriate scale to use ?
40 m
50 m
A 1 cm = 100 m
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B 1 cm = 50 m
C 1 cm = 10 m
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D 1 cm = 1 m ?
Level 2 Diagnostic Assessment
y
64. Write down the coordinates
of point P.
P
•
•
Your
OWN
PC
PC
Life
PC
Gamer
•
R
)
S(
,
)
x
O
PC
Views
,
Q
Write down the coordinates
of a 4th point, (call it S), so
that PQRS is a rectangle.
65.
P(
This piechart has 20 sectors.
It shows what PC Magazine is bought by a group of boys.
What percentage of the boys bought the
magazine, PC Gamer ?
There were 200 boys in the survey.
How many of them bought PC Gamer ?
66. If this 7 sided spinner is spun, what
is the probability it will come to rest
on an odd number ? - P(odd).
67. If the probability I will pass this test is 0·85,
what is the probability I will NOT pass it ?
68. Complete both shapes so that the dotted line is a line of symmetry each time.
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Level 2 Diagnostic Assessment