CheckPoint Tes 4 - Mathematics Paper 1 Marking Scheme (10th August 2015) FINAL

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


2/12

2

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.


3/12

3

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




1 Mark


4/12

4

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


3

4

1

2

4

5

1 Mark

1 Mark

2 Marks

1 Mark

2 Marks

1 Mark



1 Mark

2 Marks

2 Marks


5/12

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


1 Mark2 Marks

2 Marks



6/12

6

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


Consider other methods suchas drawing.

1 Mark

1 Mark

P = Perimeter


7/12

7

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


8/12

8

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


9/12

9

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.


2 Marks3 Marks

1.4 cm x 5 = 7 cm

2 Marks

1 Mark


10/12

10

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


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


11/12

11

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


2 Marks

3 Marks

1 Mark


84 toys 4 parts= 21 toys for 1 part

2 Marks

3 Marks

2 Marks



12/12

12

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


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CheckPoint Tes 4 - Mathematics Paper 1 Marking Scheme (10th August 2015) FINAL