Money: Mathematics Darjah 5 questions

Section A: objective questions

8 marks

Choose the correct answer.

RM48 250 + RM136 400 = ______

RM174 650
RM184 650
RM184 750
RM185 650

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RM136 400 + RM48 250 = RM184 650. Add the hundreds, thousands and ten thousands carefully: 400 + 250 = 650, 6 000 + 8 000 = 14 000, so carry 1 to the ten thousands.

For the teacher: Remembering, low difficulty, standard 3.1.1

Textbook p. 92

Diagram 1 shows the prices of two items. Encik Ravi pays RM3 000 for both. How much is his balance?

Refrigerator RM2 350.50 and standing fan RM189.90 — Diagram 1

RM649.50
RM2 540.40
RM469.60
RM459.60

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RM2 350.50 + RM189.90 = RM2 540.40. RM3 000 − RM2 540.40 = RM459.60. RM649.50 forgets the fan, and RM2 540.40 is the total price, not the balance.

For the teacher: Applying, low difficulty, standard 3.1.2

Textbook p. 93

1 000 × RM48.35 = ______

RM48 350
RM4 835
RM483.50
RM483 500

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Multiplying by 1 000 moves the decimal point 3 places to the right: RM48.35 becomes RM48 350.

For the teacher: Applying, low difficulty, standard 3.1.3

Textbook p. 95

RM732 800 ÷ 1 000 = ______

RM73.28
RM7 328
RM732.80
RM73 280

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Dividing by 1 000 moves the decimal point 3 places to the left: RM732 800 becomes RM732.80.

For the teacher: Applying, low difficulty, standard 3.1.4

Textbook p. 97

RM4 500 − 3 × RM850 = ______

RM1 450
RM1 950
RM2 550
RM10 950

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Multiply first: 3 × RM850 = RM2 550. Then RM4 500 − RM2 550 = RM1 950. RM10 950 is what you get by subtracting first, which is wrong.

For the teacher: Applying, low difficulty, standard 3.2.1 (i)

Textbook p. 99

Which statement is true about an investment account?

Money can be withdrawn at any time.
The starting amount is always low.
The interest rate is 1% to 2% a year.
Money cannot be withdrawn at any time because there is a maturity date.

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An investment account has a maturity date, so money cannot be withdrawn anytime. The other three statements describe a savings account.

For the teacher: Remembering, low difficulty, standard 3.3.1

Textbook p. 105

Puan Ros saves RM3 000 in a bank at 2% interest a year. She does not withdraw any money. How much money is in her account at the end of the first year?

RM3 060
RM3 600
RM3 020
RM3 120

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2% of RM3 000 = RM3 000 ÷ 100 × 2 = RM60. RM3 000 + RM60 = RM3 060. RM3 120 would be two years of simple interest.

For the teacher: Applying, low difficulty, standard 3.3.2

Textbook p. 106

Which statement is true about buying an item on credit?

The buyer is not in debt.
No interest is charged.
The buyer pays more than the actual price.
The buyer pays the full price at once.

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On credit the buyer is in debt, interest is charged and the total paid is more than the cash price. The other three are true for buying with cash.

For the teacher: Understanding, low difficulty, standard 3.4.2

Textbook p. 108

Section B: structured questions

35 marks

Answer all questions. Show your working.

Calculate.

[1 mark] (a)RM274 318 + RM109 465

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RM383 783 [1]1

Tick each point you got.

[1 mark] (b)RM508 000 − RM64 250.60

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RM443 749.40 [1]1

Tick each point you got.

For the teacher: Remembering, low difficulty, standard 3.1.1

Textbook p. 92

Diagram 2 shows the savings of Encik Hamid.

Bank RM15 820.45, Investment RM96 300.00, Tabung Haji RM42 175.30 — Diagram 2

[2 marks] (a)Calculate the total savings of Encik Hamid.

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RM15 820.45 + RM96 300 + RM42 175.30 [1]1
RM154 295.75 [1]1

Tick each point you got.

[1 mark] (b)He pays RM48 500 as the down payment for a car. How much savings does he have left?

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RM154 295.75 − RM48 500 = RM105 795.75 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 3.1.1

Textbook p. 92

A car dealer sold 18 cars at RM45 900 each in a year.

[2 marks] (a)Calculate the total sales of the 18 cars.

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18 × RM45 900 [1]1
RM826 200 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 3.1.3

Textbook p. 95

A company donates RM480 000 equally to 8 schools, as shown in Diagram 3.

Bar model: RM480 000 split into 8 equal parts — Diagram 3

[1 mark] (a)How much does each school receive?

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RM480 000 ÷ 8 = RM60 000 [1]1

Tick each point you got.

[1 mark] (b)Calculate RM284 700 ÷ 100.

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RM2 847 [1]1

Tick each point you got.

[1 mark] (c)RM126 540.60 is shared equally by 12 workers. How much does each worker receive?

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RM126 540.60 ÷ 12 = RM10 545.05 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 3.1.4

Textbook p. 97

Diagram 4 shows part of the bank statement of Puan Rahmah. The deposits are all the same amount.

Bank statement: 1/01/2024 balance RM5 400.00; deposits of RM240.00 on 31/01, 29/02 and 31/03; balance on 31/03 not shown — Diagram 4

[1 mark] (a)How much money was deposited in the three months?

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3 × RM240 = RM720 [1]1

Tick each point you got.

[1 mark] (b)Calculate the balance on 31 March 2024.

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RM5 400 + RM720 = RM6 120 [1]1

Tick each point you got.

[1 mark] (c)In April she withdraws RM650 twice. Calculate her balance after that.

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RM6 120 − 2 × RM650 = RM4 820 [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 3.2.1 (i)

Textbook p. 99

A company puts RM180 000 in account 1 and RM96 000 in account 2 to give as bonuses. The money is shared equally by 46 employees.

[1 mark] (a)Write a number sentence to find the bonus of each employee.

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(RM180 000 + RM96 000) ÷ 46 [1] (brackets needed)1

Tick each point you got.

[2 marks] (b)Calculate the bonus of each employee.

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RM180 000 + RM96 000 = RM276 000 [1]1
RM276 000 ÷ 46 = RM6 000 [1]1

Tick each point you got.

[1 mark] (c)Show how you can check your answer.

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46 × RM6 000 = RM276 000 [1]1

Tick each point you got.

For the teacher: Analysing, medium difficulty, standard 3.2.1 (iii)

Textbook p. 102

Diagram 5 shows RM4 000 saved in a bank at 2% interest a year. Nothing is withdrawn.

Year 1: RM4 000.00, 2%, interest RM80.00, end RM4 080.00. Year 2: RM4 080.00, 2%, RM81.60, RM4 161.60. Year 3: RM4 161.60, 2%, interest and end of year not shown — Diagram 5

[1 mark] (a)In which year is simple interest paid?

First yearSecond yearThird year

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First year

Simple interest is paid in the first year. From the second year it is compound interest.

[2 marks] (b)Calculate the interest in the third year, to the nearest sen.

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2% of RM4 161.60 = RM4 161.60 ÷ 100 × 2 [1]1
RM83.23 (RM83.232 rounded to the nearest sen) [1]1

Tick each point you got.

[1 mark] (c)Why is the interest in the third year more than the interest in the first year?

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The balance at the start of the year is bigger / interest is paid on the savings and on the interest already earned (compound interest) [1]1

Tick each point you got.

For the teacher: Understanding, medium difficulty, standard 3.3.2

Textbook p. 106

Diagram 6 shows two ways of buying a television.

Cash RM2 450.00; credit 18 months of RM158.50 — Diagram 6

[2 marks] (a)How much is the price of the television when bought on credit?

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18 × RM158.50 [1]1
RM2 853 [1]1

Tick each point you got.

[1 mark] (b)How much more is the credit price than the cash price?

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RM2 853 − RM2 450 = RM403 [1]1

Tick each point you got.

[2 marks] (c)Give two disadvantages of buying on credit.

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Any 2 points

In debt [1]1
Interest is charged [1]1
Pay more than the actual price [1]1
Late payment charge if payment is late [1]1

Tick each point you got.

For the teacher: Applying, low difficulty, standard 3.4.2

Textbook p. 108

Syafiq wants to buy a bicycle that costs RM360. He saves RM4.50 every week and his father adds RM3.50 every week. Syafiq says, "I will have enough money in 40 weeks."

[1 mark] (a)How much money is added to his savings each week?

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RM4.50 + RM3.50 = RM8 [1]1

Tick each point you got.

[1 mark] (b)How much money will he have after 40 weeks?

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40 × RM8 = RM320 [1]1

Tick each point you got.

[1 mark] (c)Is Syafiq correct?

YesNo

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RM320 is less than RM360, so he is RM40 short after 40 weeks.

[1 mark] (d)In which week will he have enough money?

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RM360 ÷ RM8 = 45, so in the 45th week [1]1

Tick each point you got.

For the teacher: Evaluating, high difficulty, standard 3.5.1

Textbook p. 112

A school has RM41 000 from the Parent-Teacher Association and RM7 750 from donations. It wants to buy 9 projectors at RM5 280 each.

[1 mark] (a)Calculate the total cost of the 9 projectors.

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9 × RM5 280 = RM47 520 [1]1

Tick each point you got.

[2 marks] (b)Does the school have enough money? Show the balance.

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RM41 000 + RM7 750 = RM48 750 [1]1
RM48 750 − RM47 520 = RM1 230 left, so yes [1]1

Tick each point you got.

[2 marks] (c)Write your own money story for the number sentence (RM2 400 + RM600) ÷ 5, then give the answer.

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A sensible story that adds two amounts and shares the total equally among 5 [1]1
RM600 [1]1

Tick each point you got.

For the teacher: Creating, medium difficulty, standard 3.5.1

Textbook p. 114

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