primary 6 mathematics - moe...mr lim and his family left singapore for hong kong with 4 pieces of...

Primary 6 Mathematics

West View Primary School

SINGAPORE MATHEMATICAL FRAMEWORK


Overview Examination Format

Strategies

Marks deduction

Common Mistakes made by pupils

- Fractions - Ratio & Percentage


Examination Format Pape

r

Types of Qns Marks Duration

1 Booklet A : 15 MCQ

Booklet B : 15 Short-

Answer

10x1m

5x2m

10x1m

5x2m

Total : 40%

50 min

2 Q1 – Q5 : Short-Answer

Q6 – Q18 : Long-Answer

5x2m

5x3m

5x4m

3x5m

Total : 60%

1h 40min


2 ESSENTIAL TRAITS REQUIRED

1. SPEED 2. ACCURACY


Strategies for Paper 1 NO calculators allowed

Read and understand the question

Basic skills: Four operations

Complete within given time (50mins)

Check: reasonableness, working

Strategies for Paper 2 Calculators allowed

Read and understand the question

Apply heuristics: Model drawing, etc.

Presentation of solutions

Check: reasonableness, units

Paper 2 – Marks deduction

Absence of unit in answer : ½ mark (For 3, 4 and 5 marks questions)

Wrong Mathematical Statement : ½ mark (For 4 and 5 marks questions)

Eg : cm, m, km, g, kg, ⁰, etc.

Eg : 1 – 50 = 50 100 + 23 = 123 – 15 = 107 etc


Mr Lim and his family left Singapore for Hong Kong with 4 pieces of luggage. The average mass of the luggage was 16.7 kg. After some shopping, they had filled their luggage completely so they bought another piece of luggage to keep the remainder of their purchases before leaving Hong Kong. (a) If the average mass of the luggage on their trip back to Singapore was 25.4 kg, what was the total mass of their purchases in Hong Kong? (b) They were limited to a total of 100 kg of luggage when boarding the plane for Singapore. By how much did their luggage exceed the maximum mass allowed?

(a) 16.7 x 4 = 66.8 25.4 x 5 = 127 - 66.8 = 60.2 (b) 127 - 100 = 27 Ans : (a) _60.2 __[3] (b) _27_ ___[1]

Example….

mathematical statement error

missing units

Should be : 25.4 x 5 = 127 127 – 66.8 = 60.2

kg kg


Marks deduction…

Guess & Check Method :

MUST put in values (guess) into the (all) conditions to CHECK for validation! Otherwise no marks will be awarded…


Example … Daniel had 40% as many marbles as Ethan. Daniel gave away 8 marbles to his brother and Ethan lost 40 of his marbles in a game. Then Daniel had half as many marbles as Ethan. (a) How many marbles did Daniel have at first? (b) How many marbles did Ethan have at first?

Daniel Ethan Check

40 – 8 = 32 44 – 8 = 36 48 – 8 = 40

100 – 40 = 60 110 – 40 = 70 120 – 40 = 80

X

X

/

Ans : (a) __________ [3] (b) __________ [2]

60 ÷ 2 = 30 70 ÷ 2 = 35 80 ÷ 2 = 40

48 120


Common Errors


45% of a vegetable garden is planted with peas. 3/5 of the remaining area is planted with beans and the rest is planted with potatoes. The area of the garden is 121 m2. Find the area of the garden planted with potatoes.


There are 360 principals in a certain number of schools. 50% of the principals are primary school principals.

are principals of pre-university institutions. Find the number of secondary school principals in the schools.


Amount of money to written to 2 decimal places.


Error in calculation. The pupil could

have detected it if he/she had applied the reasonableness

check.

I am thinking of a number. When I increase the number by 80%, I get 162. What is the number?

Note: Question allowed the use of calculator.


HAMOS A strategy to help pupils make sense of word problems.



1. Think “what is the Question about?”

Less / More Than or

Set or

Part-Whole Relationship or

Constant Total / Difference / Variable or ??

2. Use HAMOS

3. Study the answer provided.

4. If you get the answer wrong, do

corrections.

Highlight – the question

Annotate – link the information given

Method – draw a model/diagram/table

to understand the question

Operations – identify the operations to

be carried out

Self-check – check working


Question 1

Mr Rashid has 9/10 kg of chilli powder. He

repacks them into packets of 1/5 kg each.

How many such packets does he get?


Question 2

Jamil had some soccer-player cards last year. He

buys 175 more cards to increase his collection by

35%. How many cards does he have now?


Question 3

The price of a ring is the price of a necklace .

If the price of the ring is $240, what is the price

of the necklace?


4

3

Ring

Necklace

$240

?

3 u ----- $240 1 u -----$240 ÷ 3 = $80 4 u -----$80 x 4 = $320

Question 4

During the school Sports Meet, a total of 400

medals were awarded to the participants. 28%

of the medals were won by the Red Team, 4/9

of the remainder by the Green Team and the

rest by the Yellow Team. How many medals did

the Green Team win?


Question 5


Molly and Nera each had 70 stickers at

first. After Molly gave Nera some

stickers, Molly had 3/4 of the number of

stickers Nera had. How many stickers did

Molly give Nera?

Question 6


Mr Rodney drove 22 km from Town A to

Town B at an average speed of 44 km/h.

He continued his journey to his house

from Town B, driving another 72 km at an

average speed of 48 km/h. How much

time did he take for the whole journey?


Q & A

primary 6 mathematics - moe...mr lim and his family left singapore for hong kong with 4 pieces of...

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