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Mathematics questions, unit 7
Nama / NameKelas / ClassTarikh / Date

Coordinates, Ratio and Proportion

40 marks. Use Practice to check each answer as you go, or Exam to answer everything first.

Section A: objective questions

8 marks
Choose the correct answer.
1

Question 1

What are the coordinates of the origin of a Cartesian plane?
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C
The origin is where the x-axis and the y-axis cross. It is 0 across and 0 up, so it is (0, 0).
For the teacher: Remembering, low difficulty, standard 7.1.1
Textbook p. 215
2

Question 2

Diagram 1 shows four points on a Cartesian plane. What are the coordinates of point K?
Cartesian plane with K at (3, 4), L at (4, 3), M at (0, 4) and N at (2, 0)
Diagram 1
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A
K is 3 units across and 4 units up, so K is (3, 4). (4, 3) is point L.
For the teacher: Understanding, low difficulty, standard 7.1.1
Textbook p. 216
3

Question 3

Which point in Diagram 2 is at (0, 5)?
Cartesian plane with P at (5, 0), Q at (2, 2), R at (2, 5) and S at (0, 5)
Diagram 2
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D
(0, 5) means 0 across and 5 up, so the point is on the y-axis at height 5. That is S. R is at (2, 5) and P is at (5, 0).
For the teacher: Understanding, low difficulty, standard 7.1.2
Textbook p. 217
4

Question 4

A bee starts at the origin. It flies 6 units to the right and then 3 units up. What are its coordinates?
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B
Across first: 6. Then up: 3. The bee is at (6, 3).
For the teacher: Applying, low difficulty, standard 7.1.2
Textbook p. 217
5

Question 5

Diagram 3 shows the number of pencils and erasers. What is the ratio of the number of pencils to the number of erasers?
Two blocks for pencils and seven blocks for erasers
Diagram 3
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C
There are 2 pencils and 7 erasers. Pencils come first in the question, so the ratio is 2 : 7.
For the teacher: Understanding, low difficulty, standard 7.2.1
Textbook p. 219
6

Question 6

State the ratio of the volume of a 1 mℓ syringe to the volume of a 1 ℓ bottle.
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A
Change to the same unit: 1 ℓ = 1 000 mℓ. The ratio of 1 mℓ to 1 000 mℓ is 1 : 1 000.
For the teacher: Applying, medium difficulty, standard 7.2.1
Textbook p. 221
7

Question 7

5 similar pens cost RM7.50. What is the price of 8 similar pens?
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D
1 pen = RM7.50 ÷ 5 = RM1.50. 8 pens = 8 × RM1.50 = RM12.00.
For the teacher: Applying, low difficulty, standard 7.3.1
Textbook p. 222
8

Question 8

There are 90 sweets in 6 similar packets. How many sweets are there in 4 similar packets?
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B
1 packet = 90 ÷ 6 = 15 sweets. 4 packets = 4 × 15 = 60 sweets.
For the teacher: Applying, medium difficulty, standard 7.3.1
Textbook p. 224

Section B: structured questions

32 marks
Answer all questions. Show your working.
9

Question 9

Diagram 4 shows three places on a Cartesian plane.
Cartesian plane with School at (2, 3), Mosque at (4, 1) and Park at (0, 4)
Diagram 4
[1 mark] (a)Write the coordinates of the school.
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Tick each point you got.
[1 mark] (b)Write the coordinates of the mosque.
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Tick each point you got.
[1 mark] (c)Which place is on the vertical axis (y-axis)?
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Park
The park is at (0, 4): 0 across, so it lies on the y-axis.
For the teacher: Remembering, low difficulty, standard 7.1.1
Textbook p. 215
10

Question 10

Diagram 5 shows three vertices A, B and C of a rectangle ABCD on a Cartesian plane.
Points A (1, 1), B (1, 4) and C (5, 4) on a Cartesian plane
Diagram 5
[1 mark] (a)Write the coordinates of A, B and C.
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Tick each point you got.
[1 mark] (b)Write the coordinates of the fourth vertex, D.
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Tick each point you got.
[1 mark] (c)Point E is 2 units to the right of the origin and 4 units up. Write the coordinates of E.
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 7.1.2
Textbook p. 217
11

Question 11

The table shows the number of storybooks read by four pupils in a week.
PupilAnisBalaCathyDev
Storybooks2514
[1 mark] (a)State the ratio of the number of Anis's storybooks to the number of Bala's storybooks.
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Tick each point you got.
[1 mark] (b)State the ratio of the number of Cathy's storybooks to the number of Dev's storybooks.
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Tick each point you got.
[1 mark] (c)State the ratio of the number of Bala's storybooks to the number of Anis's storybooks.
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5 : 2
Bala comes first in the question, so Bala's number goes first: 5 : 2.
For the teacher: Remembering, low difficulty, standard 7.2.1
Textbook p. 219
12

Question 12

The table shows the lengths of three pieces of wire.
WireRST
Length1 mm1 cm1 m
[2 marks] (a)State the ratio of the length of wire R to the length of wire S.
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Tick each point you got.
[2 marks] (b)State the ratio of the length of wire S to the length of wire T.
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 7.2.1
Textbook p. 221
13

Question 13

Puan Siti buys 7 mangoes for RM12.60. She has RM30.
[1 mark] (a)What is the price of 1 mango?
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Tick each point you got.
[1 mark] (b)What is the price of 11 mangoes?
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Tick each point you got.
[2 marks] (c)Does she have enough money to buy 16 mangoes? Show your working.
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 7.3.1
Textbook p. 222
14

Question 14

Mother pays RM48 for 8 m of cloth.
[1 mark] (a)What is the price of 1 m of the cloth?
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Tick each point you got.
[2 marks] (b)What length of the same cloth can be bought with RM102?
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 7.3.1
Textbook p. 223
15

Question 15

Diagram 6 shows the positions of four appliances in a shop. Their prices: kettle RM85, fan RM130, toaster RM95, iron RM110. Hana pays RM215 for two appliances.
Cartesian plane with Kettle at (1, 3), Fan at (4, 1), Toaster at (2, 4) and Iron at (5, 2)
Diagram 6
[2 marks] (a)Which two appliances does she buy? Show your working.
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Tick each point you got.
[1 mark] (b)Write the coordinates of the two appliances.
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Tick each point you got.
For the teacher: Applying, medium difficulty, standard 7.4.1
Textbook p. 226
16

Question 16

Zul's pumpkin has a mass of 3 kg. Mei's pumpkin is 4 kg heavier than Zul's pumpkin.
[1 mark] (a)What is the mass of Mei's pumpkin?
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Tick each point you got.
[1 mark] (b)State the ratio of the mass of Zul's pumpkin to the mass of Mei's pumpkin.
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Tick each point you got.
For the teacher: Applying, low difficulty, standard 7.4.1
Textbook p. 227
17

Question 17

Raju wants to buy 20 pens of the same kind. The prices are: shop A, 4 pens for RM6.00; shop B, 5 pens for RM7.00; shop C, 2 pens for RM2.90.
[3 marks] (a)Find the price of one pen in each shop.
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Tick each point you got.
[2 marks] (b)Which shop should Raju choose? How much will he pay for 20 pens there?
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Tick each point you got.
For the teacher: Evaluating, high difficulty, standard 7.4.1
Textbook p. 228
18

Question 18

The ratio of the price of a bookmark to the price of another item is 1 : 10.
[1 mark] (a)Give a possible price for the bookmark and for the other item.
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Tick each point you got.
[1 mark] (b)A bookmark costs RM2. How much does the other item cost?
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Tick each point you got.
For the teacher: Creating, high difficulty, standard 7.2.1
Textbook p. 220