MINISTRY OF EDUCATION, SCIENCE AND TECHNOLOGY ANTIGUA AND ...

[Pages:9]MINISTRY OF EDUCATION, SCIENCE AND TECHNOLOGY

ANTIGUA AND BARBUDA 2018 GRADE SIX NATIONAL ASSESSMENT

MATHEMATICS - PAPER 2 June 07, 2018 100 Marks

TIME: 1 Hour and 30 Minutes

Answer ALL Questions in Section 1 AND Section 2

Student ID: _____________________________ Fill in your ID immediately.

Do not write in the space below. For official use only

Questions

Marks gained

Marked by

Checked by

Section 1 (70 Marks) Q. 1 07 marks Q. 2 10 marks Q. 3 16 marks Q. 4 11 marks Q. 5 14 marks Q. 6 12 marks Section 2 (30 Marks) Q. 7 10 marks Q. 8 10 marks Q. 9 10 marks

Total: 100 marks

- 1 -

Section 1 (70 Marks)

Answer ALL the questions in this section. Clearly show ALL working in the space provided after each question. The use of calculator is NOT allowed.

QUESTION 1 NUMBER CONCEPTS ? Whole Numbers Use the numbers below to answer the questions which follow.

10

31

25

2

64

5

42

(a) Which number is divisible by 3?

(b) Which number is a prime and an even

(2 marks)

number?

(1 marks)

(c) An odd number that is also a square

(d) Which number is a multiple of 2 and a

number is _______.

(2 marks)

factor of 30?

(2 marks)

QUESTION 2 NUMBER CONCEPTS ? Fractions, Decimals & Percent Use the numbers below to answer the following questions.

80%

0.06

0.25

(a) Write the numbers in order from smallest to greatest.

(4 marks)

(b)

Place

a

dot

on

the

number

line

to

show

the

approximate

position

of

?,

0.5

and

3 5

.

Label each point.

(3 marks)

0

1

(c) Place a dot on the number line below to show the approximate location of 1, 80% and 12.

8

Label each point.

(3 marks)

0

2

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Calculate: (a) 0.87 + 179.6 + 65

- 2 -

QUESTION 3 COMPUTATION ? Fractions & Decimals

(4 marks)

1

3

(c) 9 8 - 3 4

(Write answer in lowest terms.)

(4 marks)

(b) 60.48 ? 0.7

(4 marks)

(d)

2

4 5

?

3 10

(4 marks)

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QUESTION 4 NUMBER CONCEPTS ? Fractions, Decimals & Percent

4 (a) Shade of the shape below.

5 (3 marks)

(b) Shade 60% of the shape below. (3 marks)

4 (c) Write 5 as a decimal and as a percent.

(2 marks)

(d) State a fraction that is more

than 60%, but less than 4 .

5 (2 marks)

(e) State a decimal number that is less

than 60%.

(1 mark)

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QUESTION 5 MEASUREMENT ? Length and Perimeter (a) From the list below, identify which is the most likely measurement for each of the following.

15 g

400 ml

12 cm

39 kg

26.1 L

i) the amount of water in a pond ___________________________

ii) the weight of an 11 year old boy ___________________________

iii) the amount of drink in a cup

___________________________

iv) the weight of a straw

___________________________

v) the length of an exercise book ___________________________

(5 marks)

(b) The perimeter of the rectangle shown below is 50 cm. One side of the rectangle measures 18.5 cm. Label the measure, in centimetres, of the remaining three sides of the rectangle. (Clearly show how you determined what numbers to use to label the sides of the rectangle.)

_______ cm

________ cm

________cm

18.5 cm

(5 marks) (c) Determine the length and width of two other rectangles with a perimeter of 50 cm.

(Clearly show, using numbers, words or symbols, how you determined the length and width of the two rectangles.)

length

width

Rectangle 1 __________ ___________

Rectangle 2 __________ ___________ G6NA 2018

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QUESTION 6 GEOMETRY ? Plane Shapes & Coordinates (a) Use the diagrams below to answer the following questions.

1

2

i) Place an O to show obtuse angles in two of the shapes above.

3

4

ii) Place a X to show two right angles.

(2 marks)

(2 marks)

iii) Identify TWO of the shapes which have iv) Which type of triangle is diagram 3?

at least one pair of parallel sides.

Give a reason for your answer.

(2 marks) (b) Use the coordinate grid provided to answer the following.

i) Plot the points A (2, 3) and B (8, 0).

(2 marks) (2 marks)

ii) Determine where you would place point C to form an acute angle with AB. State the

coordinates.

(2 marks)

Point C ( , )

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Section 2 (30 Marks)

Answer ALL questions in this section. Clearly show ALL working in the space provided after each question. Calculator may be used. (10 marks each)

QUESTION 7 COMPUTATION ? Money, Fractions & Percent Mrs Browne bought the following items to make a cake for her daughter's 13th birthday party:

Quantity 5lb 2 1 lb

2

2lb

Items Flour Sugar

Butter

Unit cost $2.74 per lb $1.70 per lb

$7.49 per lb

Total cost __________ __________

__________

(a) Calculate the total cost of each item listed above. Write your answers in the table above. (3 marks)

(b) Mrs. Browne also needed to buy some eggs. Eggs are sold 6 for $4.85 and she needs to buy 1? dozen eggs.

i) Calculate the cost of eggs.

ii) Calculate her total bill for the 4 items.

(1 mark) (c) There is a 5% discount, if you spend $50 or more.

i) How much more money will she need to spend to get the discount.

(2 marks) (1 mark)

ii) Which is the better deal - spend $50 and get the 5% discount or purchase the 4 items?

Explain your reasoning.

(3 marks)

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QUESTION 8 STATISTICS ? Data Presentation & Interpretation Mr Samuel's class went bird watching. The students were divided into 3 teams. The table below shows the number of birds each team saw.

Parrot Yellow breast Hummingbird

Bird Watching

Team A 8

Team B

11

9

6

Team C 5

4

7

(a) The total number of each type of bird the teams saw is shown in the bar graph below. Show your work here.

30

Total Number of Birds

25

20

15

10

5

0

Parrot

Yellow breast Hummingbird

Type of Birds

Use the information from the bar graph to determine how many

i) more parrots were seen than hummingbirds? (1 mark)

ii) hummingbirds Team A saw? (2 marks)

iii) parrots Team B saw? (2 marks)

(b) Calculate the total number of birds each

team saw.

(3 marks)

(c) Find the mean number of birds each

team saw.

(2 marks)

Write your answer here.

Team A _______

Team B _______

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Team C _______

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