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Rivervale Primary SchoolMaths Workshop for
P4 to P6 Parents
2 March 2017, Thursday3.00 – 4.30 pm
Programme OutlineTime Activity
3.00 – 3.05 Welcoming
3.05 – 3.20 Math Assessment & Exam Paper Format by Math HOD, Mr Jerry Soh
3.20 – 3.50 P4 & P5 Sharing by Mr Eu Kong Leong
3.50 – 4.20 P6 SharingBy Mrs Ang Si Min
4.20 – 4.30 Q&A Time
The Rivervale – School of Excellence, Individuals of Character
MATHS ASSESSMENT & EXAM PAPER FORMAT
The Rivervale – School of Excellence, Individuals of Character
Assessments:Formative (Assessment for Learning, AfL):
• Gather feedback about how pupils have learnt, e.g. multiplication of fractions
• Teacher to reinforce concepts, skills to close any learning gap / stretch pupils’ learning
• Workbooks, worksheets, supplementary books
The Rivervale – School of Excellence, Individuals of Character
Assessments:Summative (Assessment of Learning, AoL):
• Measure pupil achievement at a particular point in time
• Covers a range of topics, concepts and skills
• Used for banding, promotion, awards
• Exams
The Rivervale – School of Excellence, Individuals of Character
2017 Assessments:
P4, P5:
• 2 Semestral Assessments (Terms 2, 4)
P6:
• 1 Continual Assessment (Term 1)
• 1 Semestral Assessment (Term 2)
• 1 Preliminary Exam (Term 3)
The Rivervale – School of Excellence, Individuals of Character
Achievement Bands, Grades / Mark Range:
P5, P6:
The Rivervale – School of Excellence, Individuals of Character
Band Mark Range
1 85-100
2 70-84
3 50-69
4 Below 50
P4:
Grade Mark Range
A* 91-100
A 75-90
B 60-74
C 50-59
D 35-49
E 20-34
U (Ungraded) Below 20
P4 Exam Format:
1 h 45 min, 100 marks
Section A (MCQ): 15 2-marks
Section B (SAQ): 15 2-marks
Section C (LAQ): 10 3/4/5-marks
The Rivervale – School of Excellence, Individuals of Character
P5 Exam Format:Paper 1: 1 hour paper, 45 marks (calculator not allowed)
Booklet A (MCQ): 10 1-mark and 5 2-marks
Booklet B (SAQ): 5 1-mark and 10 2-marks
Paper 2: 1 h 30 min paper, 55 marks(calculator allowed)
SAQ: 5 2-marks
LAQ: 12 3/4/5-marks
The Rivervale – School of Excellence, Individuals of Character
List of approved calculators for PSLE:
http://www.seab.gov.sg/content/calcula
tor/GuidelinesCalculators.pdf
Paper 1: 50 min paper, 40 marks (calculator not allowed)
Booklet A (MCQ): 10 1-mark and 5 2-marks
Booklet B (SAQ): 10 1-mark and 5 2-marks
Paper 2: 1 h 40 min paper, 60 marks(calculator allowed)
SAQ: 5 2-marks
LAQ: 13 3/4/5-marks
The Rivervale – School of Excellence, Individuals of Character
List of approved calculators for PSLE:
http://www.seab.gov.sg/content/calcula
tor/GuidelinesCalculators.pdf
P6 Exam Format:
Assessments:P4 Subject-based Banding:
• Choice to take a combination of standard or foundation subjects
• Recognise pupils’ different learning abilities and provide greater flexibility to concentrate on the subjects they are good at
• Details: • https://www.moe.gov.sg/education/primary/subject-based-
banding
The Rivervale – School of Excellence, Individuals of Character
Assessments:P6 PSLE:
• T-score
• Aggregate score
• Performance is relative
The Rivervale – School of Excellence, Individuals of Character
http://nurs8004.wikispaces.com/file/view/no
rmal-distribution-
curve.jpg/365012298/normal-distribution-
curve.jpg
P4 & P5 HEURISTICS
The Rivervale – School of Excellence, Individuals of Character
Model Drawing
The Rivervale – School of Excellence, Individuals of Character
The Rivervale – School of Excellence, Individuals of Character
(P4) Jennifer had 12 more pies than Clara at first. After Jennifer had eaten 4 pies, she had twice as many pies as Clara in the end. How
many pies did Jennifer have at first?
Before
Jennifer
Clara
After
Jennifer
Clara
12
8
2 units
The Rivervale – School of Excellence, Individuals of Character
1 unit -------- 8 pies
8 + 12 = 20
Jennifer had 20 pies at first.
The Rivervale – School of Excellence, Individuals of Character
(P5) Vincent puts some green and red sweets in a box. The ratio of the green sweets to the red sweets is 2 : 1. He adds 12 more red sweets in the box and the ratio becomes 4 : 5. How many green
sweets are there in the box?
Before
Green
Red
Green
Red
The Rivervale – School of Excellence, Individuals of Character
After
Green
Red
3 units -------- 12 sweets
1 unit -------- 12 ÷ 3 = 4 sweets
4 units -------- 4 × 4 = 16 sweets
There are 16 green sweets in the bag.
12 sweets
The Rivervale – School of Excellence, Individuals of Character
Let’s try togetherAbel and Benny had some money in the ratio
6 : 1. Abel gave 𝟏
𝟐of his money to Benny. Find the ratio of the
amount of money Abel had left to the amount of money Benny had in the end.
Before
Abel
Benny
After
Abel
Benny
gave to Benny
The ratio of the amount of money Abel had left to
the amount of money Benny had in the end is 3 : 4
Working Backwards
The Rivervale – School of Excellence, Individuals of Character
The Rivervale – School of Excellence, Individuals of Character
(P4) Mr Raju had some money at first. After spending $250 on a mobile phone and $365 on a television set, he had $560
left. How much money did Mr Raju have at first?
$560 + $365 = $925$925 + $250 = $1175
Mr Raju had $1175 at first.
Check$1175 − $250 = $925$925 − $365 = $560 (√ )
The Rivervale – School of Excellence, Individuals of Character
(P5) Alex, Ben, Colin and Don went to a jungle. Each boy found a rattan. Alex’s rattan was twice as long as Ben’s. Ben’s rattan was 12 cm shorter
than Colin’s. Colin’s rattan was 15 cm longer than Don’s. Don’s rattan was 16 cm long. How long was Alex’s rattan?
16 + 15 = 31 (Colin)
31 − 12 = 19 (Ben)
19 × 2 = 38 cm (Alex)
Alex’s rattan was 38 cm long.
Check 38 ÷ 2 = 19 19 + 12 = 31 31 − 15 = 16 cm (√ )
The Rivervale – School of Excellence, Individuals of Character
Let’s try togetherThere were some cherry and mint sweets on a plate. After 6 mint
sweets were taken away by Amelia, 8 cherry sweets were put back on the plate. After another 10 sweets were taken away by Jill, 4 mint
sweets were put back. If there were 20 sweets left on the plate, how many sweets were there on the plate at first?
20 − 4 = 16
16 + 10 = 26
26 − 8 = 18
18 + 6 = 24
There were 24 sweets at first.
Check
24 − 6 = 18
18 + 8 = 26
26 − 10 = 16
16 + 4 = 20 sweets (√ )
Logical Reasoning
The Rivervale – School of Excellence, Individuals of Character
The Rivervale – School of Excellence, Individuals of Character
(P4) Five children organized a fun run. In which order did they reach the finishing line?
• Anne came in third in the race• Laura ran faster than Adrian• Sofie was the last runner• Kim was slower than Adrian• Anne ran faster than Sofie
Anne Laura Adrian Sofie Kim
1st X √ X X X
2nd X X √ X X
3rd √ X X X X
4th X X X X √
5th X X X √ X
The Rivervale – School of Excellence, Individuals of Character
The Rivervale – School of Excellence, Individuals of Character
(P5) Wen, Karen, Limin and Rong all enjoy sports. Three of them like either Basketball, Tennis or Badminton. The other coaches a Volleyball team. Wen does not like tennis. Neither Limin nor Wen plays Basketball. Karen loves her coaching job. Which sports does each person prefer?
Wen Karen Limin Rong
Basketball
Tennis
Badminton
Volleyball
X
X
X
X
X
X
X
X
X
X
X
X
√
√
√
√
The Rivervale – School of Excellence, Individuals of Character
Let’s try together
Ben, Terry, Eileen and Mary are teachers. Each of them teaches Math, English, Biology or Physical Education (PE). The PE teacher’s wife likes Math. Mary hates numbers and bugs. Terry is a confirmed bachelor. What does each person teach?
The Rivervale – School of Excellence, Individuals of Character
English Math Biology P.E.
Ben
Terry
Eileen
Mary √
√
√
√X
X
X
X
X
X
X
X
X
X
X
X
The Rivervale – School of Excellence, Individuals of Character
P6 SHARING
The Rivervale – School of Excellence, Individuals of Character
The Rivervale – School of Excellence, Individuals of Character
In a school, 70% of the members in the Band and 60% of the members in the Choir are girls. Both the Band and the Choir have the same number of boys. The Band has 20 more girls than Choir. How many members are there in the Band?
2015 PSLE Paper 2 Q11
Band Choir
C
B
20
5u 20
1u 20 ÷ 5 = 4
20u 4 × 20 = 80
?
G: 70% 7
10G: 60%
6
10= 3
5
B:3
10B:
2
5
A rectangular block X was cut along the dotted line into two smaller rectangular blocks of equal height, Y and Z, as shown below. The volume of Z is 1470 cm³ more than that of Y.a) What is the height of each block?
2016 PSLE Paper 2 Q15
Volume of Z – Volume of Y = 1470
15 × 10 × H – 8 × 10 × H = 1470
150H – 80H = 1470
70H = 1470
H = 1470 ÷ 70 = 21 cm
The Rivervale – School of Excellence, Individuals of Character
10 cm 10 cm
H H H21 21 21
b) Peter packed 6 of Block Z such that they fit exactly into a box with a square base. The box has the same height as Z. At most, how many of Block Y can be packed into such a box?
2016 PSLE Paper 2 Q15
6 of block Z = 6 × 15 × 10 × 21
= 18 900
Base area = 18 900 ÷ 21 = 900
1 side = √900 = 30
3 × 3 = 9 Block Y
30
30
8
10
The Rivervale – School of Excellence, Individuals of Character
10 cm 10 cm
21 21 21
8
10
8
10
A square is made up of four triangles P, Q, R and S. The area of P is 1
9the area of the square while the area of Q is
1
6the area of the
square.
a) The total area of P and Q is 10 cm². What is the length of each side of the square?
2016 PSLE Paper 2 Q17
P : whole sq
1 : 9
2 : 18
The Rivervale – School of Excellence, Individuals of Character
Q : whole sq
1 : 6
3 : 18
2u + 3u = 5u
5u 10 cm²
1u 10 ÷ 5 = 2 cm²
18u 2 × 18 = 36 cm²
36 cm² = 6 cm × 6 cm
A square is made up of four triangles P, Q, R and S. The area of
P is 1
9the area of the square while the area of Q is
1
6the area
of the square.
b) What fraction of the square is S?
2016 PSLE Paper 2 Q17
The Rivervale – School of Excellence, Individuals of Character
P : whole sq
1 : 9
2 : 18
Q : whole sq
1 : 6
3 : 18
P + S = 9u
S = 9u – 2u = 7u
S
Whole square=
7
18
COMMON MISTAKES
The Rivervale – School of Excellence, Individuals of Character
Common mistakes
• Reading too quickly and missed out details
• Misread of questions or numbers • 355 as 335
• Number left instead of number sold
The Rivervale – School of Excellence, Individuals of Character
Three boys collected plastic bottles for recycling. Jaya collected 2m bottles which was half as many as what Kai collected. Kai collected 7 bottles more than Lat. How many bottles did they collect altogether? Give your answer in terms of m in the simplest form.
2014 PSLE Paper 2 Q2
Common mistake:
J: 2m
K: m
L: m – 7
The Rivervale – School of Excellence, Individuals of Character
Total:
2m + m + m – 7
= 4m - 7
Three boys collected plastic bottles for recycling. Jaya collected 2m bottles which was half as many as what Kai collected. Kai collected 7 bottles more than Lat. How many bottles did they collect altogether?Give your answer in terms of m in the simplest form.
2014 PSLE Paper 2 Q2
Solution
J: 2m
K: 2m × 2 = 4m
L: 4m – 7
Total:
2m + 4m + 4m – 7
= 10m - 7
2mJ
2m 2mK
7L
The Rivervale – School of Excellence, Individuals of Character
Common mistakes
• Forget to write the units or the wrong units
• Did not reread the question
• Incorrect standard unit conversion• 1 m = 100cm
• 1 hour = 60 mins
The Rivervale – School of Excellence, Individuals of Character
The figure shows a table mat. The outside edge of the mat is formed by 8 semicircles and 4 quarter circles, each of radius 7 cm.
a) Find the perimeter of the mat.
b) Find the area of the mat.
2014 PSLE Paper 2 Q14
Correct answer:
a) 220 cm
b) 2338 cm²
Common mistakes:
a) 220
b) 2338
a) 220 cm
b) 2338 cm
a) 220 cm²
b) 2338 cm²
a) 220 cm
b) 2338 cm³
The Rivervale – School of Excellence, Individuals of Character
Express 3 ÷ 7 as a percentage, rounded off to the nearest 1 decimal place.
3 ÷ 7 = 42.9% 3 ÷ 7 ≈ 42.9%
Common mistakes
• Wrong mathematical statements
– Wrong use of equal and approximation signs
The Rivervale – School of Excellence, Individuals of Character
Common mistakes
• Not putting given and information found into diagrams
The Rivervale – School of Excellence, Individuals of Character
In the figure, CDEF is a parallelogram. AFC and BFE are straight
lines and BA = BC. ∠ABF = 30° and ∠DEF = 54°.
a) Find ∠EFC.
b) Find ∠FBC.
2015 PSLE Paper 2 Q6
180 – 54 = 126
180 – 126 – 30 = 24
180 – 24 – 24 – 30
= 102
?
?
126°
126°24°
24°102°
The Rivervale – School of Excellence, Individuals of Character
Check:
180 – 102 – 24 = 54
54 + 126 = 180
54°
EXAM TIPS
The Rivervale – School of Excellence, Individuals of Character
Heuristics
Draw a model
Look for patterns
Act it out
Guess and Check
Draw a diagram
Work backwards
Solve part of the
problem
Before and After
Supposition method
Examination Skills
Scan the whole question
Simplify the problem
Read the question a few
times
Underline the key points and
circle numbers
Metacognitive questioning:
- “Which is the best method to use?”
- “Have I done a similar question
previously?”
- “How does this number help me to
solve the problem?”
- “Am I answering to the question?”
The Rivervale – School of Excellence, Individuals of Character
Revise with skill
• What to revise?
– Use files to find out areas of improvement
• How to revise?
– Cover solution and redo on rough paper
• When to revise?
– Constant revision
– Plan a schedule and stick to it
• Where to revise?
– Conducive environment
The Rivervale – School of Excellence, Individuals of Character
Tips For Answering PSLE Questions
1) Be calm and attempt questions systematically
2) Think flexibly and divergently
3) Do not always narrow down to a method of solution
The Rivervale – School of Excellence, Individuals of Character
Tips For Answering PSLE Questions
4) Don’t skip too many questions ---attempt all the questions
5) Check your work, NOT just read
6) Complete the whole PSLE Mathematics book
The Rivervale – School of Excellence, Individuals of Character
Q&A SESSION
The Rivervale – School of Excellence, Individuals of Character