checkpoint tes 4 - mathematics paper 1 marking scheme (10th august 2015) final
TRANSCRIPT
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7/26/2019 CheckPoint Tes 4 - Mathematics Paper 1 Marking Scheme (10th August 2015) FINAL
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CHECK POINT TEST 4
2015
MATHS I
MARKING SCHEME
MINISTRY OF EDUCATION
NEGARA BRUNEI DARUSSALAM
CHECKPOINT TEST 4
2 15
MATHEMATICS
PAPER 1
MARKING SCHEME
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MATHEMATICS 1
SECTION A (Total Marks = 60)
Each question carries 2 marks.
1NK
Find the value of:
3.369 + 14.20
Ans: 17.569
3 . 3 6 9
+ 1 4 . 2 0 0
1 7 . 5 6 9
2NK Express 7 as a decimal.
1 Mark
Ans: 7.07
3NK
What are the first 3 multiples of 13?
Ans: 13, 26, 39 2 Marks
4NK
Circle all the prime numbers.
11, 12, 13, 14, 15, 16, 17, 18, 19, 20 2 Marks
5NK
Express 4
as an improper fraction.
4
1 Mark
Ans:
2 Marks
6NC
Find the value of P + R2 , when P = 2 and R = 3
P + R2
= 2 + 32 1 Mark
= 2 + 9
Ans: 11
1 Mark2 Marks
Award 1 mark for any twomultiples.
Award 1 mark for any THREEof the prime numbers circled.
X
+
2 Marks
2 Marks
Award 1 mark if evidence ofcorrect working is shown.
Accept other correct methods.
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7NC
Evaluate 30% of 350
x 350 1 Mark OR
= 105
Ans: 105
8NC
Find the value of y in the following equation.
y - 30 = 90
y = 90 + 30
y = 120
Ans: 1209
NCWhat is the remainder when 866 divided by 5?
Ans: 1 2 Marks
173
5 866
- 5
36
-35
16-15
1
10NK
Find the sum of 22, 44, 16 and 18
22 +18 + 16 +44= 40 + 60
Ans: 100
11NC
Simplify:
4
5
2
3
=
x
=65
= 1
Ans: 1
1 mark
Award 1 mark for evidence ofcorrect working.
1 Mark
Accept other methods ofadding the numbers.
2 Marks
1 Mark2 Marks
10% = 35
30% = 35 x 3
= 105
1 Mark 2 Marks2 Marks
2 Marks
Award 1 mark for evidence ofcorrect working.
Award 1 mark for evidence ofcorrect working.
Accept other correct methods.
1 Mark
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12MK
Convert 3
minutes in seconds.
1 min = 60 seconds
3 x 60= 180 seconds
min = 15 seconds
195 seconds
Ans: 195 seconds
13MC
Write the following in order of size starting with the smallest.
4
5 ,
1
2 ,
3
4
Method 1:Find the common denominator first:
=
=
=
Ans:
,
,
OR
,
,
Method 2:By drawing
Method 3:Convert into decimals, we have 0.8, 0.5 , 0.75
Ans:
,
,
14MK
Express 2050 mililitres into litres and millilitres.
Method 1
1000 mililitres = 1 litre
2000 mililitres = 2 litres
2050 mililitres is 2 litres 50 mililitres
OR
Method 2
2050
- 2000
50Ans: 2 litres 50 mililitres
1 Mark 2 Marks
Award 1 mark for evidence ofcorrect working.
3
4
1
2
4
5
1 Mark
1 Mark
2 Marks
1 Mark
2 Marks
1 Mark
Award 1 mark for evidence ofcorrect working.
Accept other correct methods.
1 Mark
2 Marks
2 Marks
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5
15SK
The average of 6 numbers is 73Find their total.
Average =Total
No.of Items
73 =
Total
Hence, Total = 73 x 6
= 438
Ans: 438
16NC
Divide 8.5 by 1.7
Changing each decimal into whole number:8.5 x10851.7 x1017So, 85 17
Ans: 5
17NK
Express 4.35 as a fraction into its lowest terms.
4.35 = 4
1 Mark
= 4
Ans: 4
18NK
(a) Fill in the box with the correct fraction.
7 +
+
+
8
= 7.258
Ans:
1 Mark
NK (b) Express 64 892 correct to the nearest ten thousand.
Ans: 65 000 1 Mark
1 Mark 2 Marks
517 85
- 850
Multiples of 17
1 x 17 = 172 x 17 = 343 x 17 = 514 x 17 = 685 x 17 = 85
Award 1 mark for evidence ofcorrect working.
1 Mark2 Marks
2 Marks
Award 1 mark for evidence ofcorrect working.
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19NC
Two thirds of a number is 60What is the number?
60
=
=8
= 90
OR
60 2 = 30 (that means 1 part is 30)
30 30 30
So, 30 x 3 = 90
Ans: 9020MC
Find the perimeter of the composite figure below.
P = 5 x 8 1 Mark OR P = 5 + 5 + 5 + 5= 40 cm 5 + 5 + 5 + 5
= 40 cm
Ans: 40 cm
21NK
Find the difference between 23.56 and 80
8 0 . 0 0- 2 3 . 5 6
5 6 . 4 4
Ans: 56.44
2 Marks
NOT TO SCALE
5 cm
2 Marks
1 Mark
2 Marks
2 Marks
1 Mark
2 Marks
Award 1 mark for evidence ofcorrect working.
Consider other methods suchas drawing.
1 Mark
1 Mark
P = Perimeter
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22MC
Each square in the grid below has an area of 1 cm2.Draw lines to complete the figure so that it has an area of 15 cm2.
23NC
Write the correct number in the box.
- 25 = 67
= 67 + 25= 92
Ans: 92
24NC
Fill in the missing digits.
5 4 6 7
+ 1 3 4
8 1 5
25GK
Draw all the lines of symmetry in the figure below.
1 Mark
1 Mark
Award 2 marks forcompleting the figure as
shown.
Or any 5 squares enclosedto complete the figure.
6
8
1 Mark
Award 1 mark if 3 lines ofsymmetry are drawn.Award 2 marks if all 6 lines aredrawn.Accept solid lines.
2 Marks
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26NK
Shade 25% of the figure below.
27NK
Find the value of 60 52
60 - 25 1 Mark
= 35
Ans: 35
28NK
Write 37.51 in expanded form.
30 + 7 + 0.5 + 0.01
29MC
Zarry bought 5 t-shirts at $26 each. He gave the cashier $150How much change did he receive from the cashier?
26 x 5 = $130 1 Mark
$150 - $130 = $20
Ans: $20
30
GK
GC
The plan below shows the positions of the various places in Haziqsneighbourhood. Study it and use the information to answer the questions.
a) What is the position of the museum?
Ans: F4
b) Name the place South of Haziqs house.
Ans:Aimans house1 Mark
Accept any two trianglesshaded in the figure besidesthe ones shown.
2 Marks
1 Mark 1 Mark
1 Mark
2 Marks
1 Mark
1 Mark
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Section B (Total marks = 30)
ANSWER ALL QUESTIONS.Each question carries 3 marks.
31NA
Find the value of 144 + 2 27
= 12 + 83
= 203
Ans: 17
32NC
Subtract 477 from 729 and then divide the result by 7
Step 1729
- 477 1 Mark252
Step 2
36
7 252- 21
42-42
0Ans: 36
33MC
Here is the rectangle with six identical shaded squares inside it. The width of the
rectangle is 4.2 cm.
a) Find the length of one side of the small square:
4.2 3 = 1.4 cm 1 Mark
b) Find the area of the rectangle.
Step 1: The length of the rectangle is 1.4 x 5 = 7 cmStep 2: The area of the rectangle.
Area = Length X breadth= 4.2 x 7
= 29.4 cmAns: 29.4 cm2
3 Marks
Award 1 mark if 12 or 8 or 3is seen.
Award 1 mark for evidence ofcorrect working.
2 Marks3 Marks
1.4 cm x 5 = 7 cm
2 Marks
1 Mark
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34MC
Yusri begins painting his house at 10.15 a.m and finishes 3 hours and 45 minutes
later. At what time does he finish painting his house? Give your answer in 24-hour
clock.
H min10 15
+ 3 4513
+ 160
14 00
OR
Using timeline
3 hours
Ans: 14 00 hours
36NA
Rozana has 1650 stamps and Hani has 1170 stamps. Rozana gave some stampsto Hani. In the end, Hani had 4 times as many stamps as Rozana. How many stampsdid Rozana have in the end?
Method 1 (By drawing)
Rozana1650 +1170
= 2820Hani
2820 5
= 564 stamps
35MC
2 books and 5 bags cost $57 altogether. If the two books cost $12, how much doeseach bag cost?
Step 1
$57 - $12 = $45 1 Mark
Step 2
$45 5 bags
Ans: $9 or $9.00
2 Marks
1 Mark
3 Marks
1315
Award 1 mark for evidence ofcorrect working.
2 Marks
10.15
3 hours
1345
30 min 15 min
1400
3 Marks
Award 1 mark if 13 h 60 minis seen.
2 Marks3 Marks
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Altogether4 times
Method 2
Together they have 1650 +1170
Hana - 4 timesRozana - 1 time
2820 5 = 564
Ans: 564 Stamps
37MA
The following figure show an isosceles triangle WXY with an extended line YZ.Given that XWY is 52, find WYZ.
Find WXY and WYX firstSince the triangle is an isosceles triangle, WXY and WYX are equal.
So, to find WYX= (18052) 2= 128 2= 64
WYZ: 18064 = 116
Ans: 116
38PSC
Johari has 3 times as many toy cars as Harris. They have 84 toy cars altogether.How many toy cars does Johari has?
Method 1Johari3 timesHarris1 time84 4 = 21 toys
So, Johari has 21 X3 = 63 toys
Method 2
Johari -
Harris -
Johari 21 X 3 = 63 toys
Ans: 63 toys
Award 1 mark for evidence ofcorrect working.
2 Marks
3 Marks
1 Mark
Award 1 mark for evidence ofcorrect working.
84 toys 4 parts= 21 toys for 1 part
2 Marks
3 Marks
2 Marks
Accept other correct methods.
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39MC
In the figure below, the volume of a solid cuboid is 180 cm, if the height is 5 cm andthe length is 8 cm. Find its width.
Volume of cuboid is length x width x
height
V = L x W x H
180 = 8 x W x 5 1 Mark
180 = 40 W
W = 180 40
W = 4.5 cm
Ans: 4.5 cm
40
SK
SC
The pictogram shows the number of pizzas sold by 5 people.Use the information from the graph to answer the questions.
(a) How many pizzas were sold by Rosli?
Ans: 48 1 Mark
(b) How many more pizzas should Bazli need to sell in order to have the samenumber of pizzas as Johan?
Pizza sold by Johan = 40Pizza sold by Bazli = 18 (8 + 8 + 2)
4018 = 22
Ans: 22 more pizzas
END OF PAPER
Award 1 mark for evidence ofcorrect working.
2 Marks3 Marks
2 Marks