Coordinates, Ratio and Proportion: Mathematics Darjah 5 questions

9

Diagram 4 shows places in a park. The gate is at the origin. The distance of each grid is 1 unit.

Cartesian plane of a park with the jetty, the kiosk and the fountain marked — Diagram 4

[1 mark] (a)State the horizontal distance of the fountain from the gate.

Show answerHide answer

6 units [1]1

Tick each point you got.

[1 mark] (b)State the vertical distance of the jetty from the gate.

Show answerHide answer

4 units [1]1

Tick each point you got.

[2 marks] (c)State the horizontal distance and the vertical distance from the kiosk to the fountain.

Show answerHide answer

Horizontal: 6 − 3 = 3 units [1]1
Vertical: 3 − 2 = 1 unit [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, standard 7.1.1

Textbook p. 235

10

Diagram 5 shows some places in a school on a Cartesian plane.

Cartesian plane of a school with the canteen, the hall, the library and the garden marked — Diagram 5

[2 marks] (a)Calculate the horizontal distance and the vertical distance from the canteen to the hall.

Show answerHide answer

Horizontal: 5 − 2 = 3 units [1]1
Vertical: 4 − 1 = 3 units [1]1

Tick each point you got.

[2 marks] (b)Calculate the horizontal distance and the vertical distance from the library to the garden.

Show answerHide answer

Horizontal: 6 − 1 = 5 units [1]1
Vertical: 5 − 2 = 3 units [1]1

Tick each point you got.

For the teacher: Understanding, low difficulty, standard 7.1.1

Textbook p. 237

11

Puan Salmah uses 7 kg of rice flour, 2 kg of sugar and 4 kg of grated coconut to make kuih. State the ratio of:

[1 mark] (a)the mass of sugar to the mass of rice flour.

Show answerHide answer

2 : 7 [1]1

Tick each point you got.

[1 mark] (b)the mass of rice flour to the total mass of all the ingredients.

Show answerHide answer

7 + 2 + 4 = 13; 7 : 13 [1]1

Tick each point you got.

[1 mark] (c)the total mass of all the ingredients to the mass of sugar.

Show answerHide answer

13 : 2 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 7.2.1

Textbook p. 239

12

The table shows the length of three pieces of fabric bought by Raysha's mother.

Colour	Red	Blue	Green
Length	2 m	90 cm	3 m

[2 marks] (a)State the ratio of the length of the red fabric to the length of the blue fabric.

Show answerHide answer

2 m = 200 cm [1]1
200 : 90 [1] (accept 20 : 9)1

Tick each point you got.

[2 marks] (b)State the ratio of the length of the green fabric to the total length of all the fabrics.

Show answerHide answer

Total = 200 + 90 + 300 = 590 cm [1]1
300 : 590 [1] (accept 30 : 59)1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 7.2.1

Textbook p. 240

13

A syrup recipe uses 120 mℓ of syrup concentrate and 1.5 ℓ of water for every 1 kg of granulated sugar. The taste must stay the same.

[1 mark] (a)Calculate the volume of syrup concentrate needed for 3 kg of sugar.

Show answerHide answer

3 × 120 mℓ = 360 mℓ [1]1

Tick each point you got.

[1 mark] (b)What is the mass of sugar needed for 600 mℓ of syrup concentrate?

Show answerHide answer

600 ÷ 120 = 5; 5 kg [1]1

Tick each point you got.

[1 mark] (c)What is the volume of water needed for 240 mℓ of syrup concentrate?

Show answerHide answer

240 mℓ = 2 × 120 mℓ; 2 × 1.5 ℓ = 3 ℓ [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 7.3.1

Textbook p. 243

14

The price of 1 kg of barley is RM7.30.

[1 mark] (a)What is the price of 2 kg of barley?

Show answerHide answer

2 × RM7.30 = RM14.60 [1]1

Tick each point you got.

[1 mark] (b)What is the price of 500 g of barley?

Show answerHide answer

RM7.30 ÷ 2 = RM3.65 [1]1

Tick each point you got.

[1 mark] (c)What is the price of 2 kg 500 g of barley?

Show answerHide answer

RM14.60 + RM3.65 = RM18.25 [1]1

Tick each point you got.

[1 mark] (d)Is RM20 enough to buy 3 kg of barley?

YesNo

Show answerHide answer

No

3 × RM7.30 = RM21.90, which is more than RM20.

For the teacher: Applying, low difficulty, standard 7.3.1

Textbook p. 242

15

A bus uses 4 ℓ of diesel to travel 52 km.

[1 mark] (a)How far does the bus travel with 1 ℓ of diesel?

Show answerHide answer

52 km ÷ 4 = 13 km [1]1

Tick each point you got.

[1 mark] (b)What is the distance travelled with 30 ℓ of diesel?

Show answerHide answer

30 × 13 km = 390 km [1]1

Tick each point you got.

[1 mark] (c)How many litres of diesel are needed to travel 195 km?

Show answerHide answer

195 km ÷ 13 km = 15 ℓ [1]1

Tick each point you got.

For the teacher: Analysing, medium difficulty, standard 7.4.1

Textbook p. 246

16

Diagram 6 shows where four uniformed units have set up camp. Each grid is 1 unit.

Cartesian plane of a camp site with the Scouts, MRCS, Girl Guides and Cadets marked — Diagram 6

[2 marks] (a)A Girl Guide at her camp wants to go to the Scouts' camp. State the horizontal distance and the vertical distance she must travel.

Show answerHide answer

Horizontal: 5 − 1 = 4 units [1]1
Vertical: 4 − 1 = 3 units [1]1

Tick each point you got.

[2 marks] (b)Haris is a Cadet. He moves 3 units horizontally to the right and 2 units vertically up to meet a friend. Which unit does his friend belong to? State the coordinate of the friend.

Show answerHide answer

(1 + 3, 1 + 2) = (4, 3) [1]1
MRCS [1]1

Tick each point you got.

For the teacher: Analysing, high difficulty, standard 7.4.1

Textbook p. 249

17

Neyla bought 3 m of blue ribbon and a red ribbon. The red ribbon is 2 m longer than the blue ribbon.

[2 marks] (a)State the ratio of the length of the blue ribbon to the length of the red ribbon.

Show answerHide answer

Red ribbon = 3 + 2 = 5 m [1]1
3 : 5 [1]1

Tick each point you got.

[2 marks] (b)A pair of trousers costs 2 times as much as a shirt. State the ratio of the cost of the shirt to the total cost of the shirt and the trousers.

Show answerHide answer

Shirt = 1 part, trousers = 2 parts, total = 3 parts [1]1
1 : 3 [1]1

Tick each point you got.

For the teacher: Analysing, medium difficulty, standard 7.4.1

Textbook p. 249

18

A recipe uses 2 kg of sugar and 500 g of flour. Amin says: "The ratio of the mass of sugar to the mass of flour is 2 : 500."

[1 mark] (a)Is Amin correct?

YesNo

Show answerHide answer

No

The two masses are in different units, so 2 : 500 does not compare them fairly.

[2 marks] (b)Explain your answer and write the correct ratio.

Show answerHide answer

The units must be the same: 2 kg = 2 000 g [1]1
2 000 : 500 [1] (accept 4 : 1)1

Tick each point you got.

For the teacher: Evaluating, high difficulty, standard 7.2.1

Textbook p. 239

19

Diagram 7 shows point T and point U on a Cartesian plane.

Cartesian plane with points T and U marked — Diagram 7

[2 marks] (a)State the horizontal distance and the vertical distance from T to U.

Show answerHide answer

Horizontal: 4 − 1 = 3 units [1]1
Vertical: 3 − 1 = 2 units [1]1

Tick each point you got.

[2 marks] (b)Choose a new point W on the plane that is not T or U. Write its coordinate and state its horizontal and vertical distance from T.

Show answerHide answer

A point on the plane, for example W (5, 4) [1]1
Distances from T found by subtracting, for example 5 − 1 = 4 units and 4 − 1 = 3 units [1]1

Tick each point you got.

For the teacher: Creating, medium difficulty, standard 7.1.1

Textbook p. 236

Coordinates, Ratio and Proportion

Section A: objective questions

Section B: structured questions

Section A: objective questions

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Section B: structured questions

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19