Daily 5 Math Practice: 28 Oct Worked Solutions

Plenty of slips in primary math happen before any calculating starts. A child reads a question quickly, answers what they expected it to ask, and the working that follows is careful but aimed at the wrong target. Slowing down the first read is a habit worth building, and it is easier to practise on short questions than on a long worksheet. This post collects the five questions from each Daily 5 video in this release, for Primary 2 to Primary 6, with the hints and complete working kept in folds. Encourage your child to say in their own words what each question wants before writing a single number.

Pick your child's grade and watch that video, together or on their own. Ask them to attempt every question on paper first. When they open a fold, they should read one hint, pause and retry, and save the final step and answer for last.

Primary 2 (P2) Math: Money, Whole Numbers, Statistics

This P2 set covers adding dollars and cents, adding two three-digit numbers with regrouping, two picture graphs where each symbol stands for more than one child or pupil, and a harder story about sweets. On each graph, find the key before counting. In the sweets story, have your child list the events in order so they can see clearly what happened first.

Primary 2 (P2) Daily 5 video for 28 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Dollars and cents · easy

$27.80 + $17.00 =

Show the worked solution

Hint 1

Add the dollars:

27 + 17 = 44

Hint 2

Add the cents: 80 cents

Answer: 44.80

Question 2 · Addition and Subtraction · easy

358 + 389 =

Show the worked solution

Hint 1

Add the ones digit first:

8 + 9 = 17

Hint 2

Add the tens and hundreds next, regrouping/renaming where necessary

Answer: 747

Question 3 · Picture Graphs with Scales · easy

The picture graph shows favourite colours. How many more children chose Green than Yellow?

Favourite Colours

1 picture = 4 children

Red

Blue

Green

Yellow

Show the worked solution

Hint 1

Count the symbols for Green and for Yellow.

Hint 2

Each symbol is worth 4 children. Multiply each row's symbol count by 4, then compare the two amounts.

Final step

Green:

7 \times 4 = 28

; Yellow:

3 \times 4 = 12

; subtract:

28 - 12 = 16

→ 16

Answer: 16

Question 4 · Picture Graphs with Scales · easy

The picture graph shows pets at home. How many more pupils have a Cat than a Dog?

Pets at Home

1 picture = 2 pupils

Dog

Cat

Fish

Bird

Show the worked solution

Hint 1

Count the symbols for Cat and for Dog.

Hint 2

Each symbol is worth 2 pupils. Multiply each row's symbol count by 2, then compare the two amounts.

Final step

Cat:

5 \times 2 = 10

; Dog:

2 \times 2 = 4

; subtract:

10 - 4 = 6

→ 6

Answer: 6

Question 5 · Addition and Subtraction · hard

Siti had some sweets. She ate

48

sweets and gave

16

sweets to her brother. She has

18

sweets left. How many sweets did she have at first?

Show the worked solution

Hint 1

Start with the amount left:

18

Hint 2

Add back what was given away:

18 + 16 = 34

Final step

Add back what was sold/spent/eaten:

34 + 48 = 82

→ 82

Answer: 82

Primary 3 (P3) Math: Measurement, Statistics, Whole Numbers

The P3 questions practise changing kilometres and metres into metres, reading a bar graph, finding a remainder in division, the area of a square, and a harder comparison problem in which one child has several times as many marbles as the other. On the bar graph, check the scale before reading off a value. For the marbles, one bar per child shows how the amounts compare.

Primary 3 (P3) Daily 5 video for 28 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Measurement · easy

Express

2\text{ km } 822\text{ m}

in metres.

Show the worked solution

Hint 1

1\text{ km} = 1000\text{ m}

Hint 2

Convert the whole kilometres first:

2 \times 1000 = 2000

→ 2000 m.

Final step

Add

822\text{ m}

2000 + 822 = 2822

→ 2822

Answer: 2822

Question 2 · Bar Graphs · easy

The bar graph shows favourite books. How many students are recorded for Fantasy?

Favourite Books

Show the worked solution

Hint 1

Find the bar for Fantasy in the graph.

Hint 2

Read the value on the scale

Answer: 40

Question 3 · Multiplication and Division · medium

Divide

83

9

. What is the remainder?

Show the worked solution

Hint 1

Make equal groups of the divisor from the dividend.

Hint 2

Count how many full groups fit:

83 \div 9

. Then see what is left.

Final step

The full quotient is

9

, so

83 = 9 \times 9 + 2

→ 2

Answer: 2

Question 4 · Area and Perimeter · medium

A square has a side of

9\text{ cm}

. Find its area.

Show the worked solution

Hint 1

Split the square into two rows and find the area of those rows first.

Hint 2

Two rows have

2 \times 9 = 18

square centimetres

→ 18 square centimetres.

Final step

Area =

9 \times 9 = 81

→ 81

Answer: 81

Question 5 · Multiplicative Comparison (Units and Parts) · hard

Wei Jie and Zhi Hao have

60

marbles. Wei Jie has

5

times as many marbles as Zhi Hao. How many more marbles does Wei Jie have than Zhi Hao?

Show the worked solution

Hint 1

Total units

= 5 + 1 = 6

units

= 60

marbles.

Hint 2

Value of 1 unit:

60 \div 6 = 10

Final step

Wei Jie has

5 \times 10 = 50

marbles; Zhi Hao has

10

marbles. Difference

= 50 - 10 = 40

→ 40

Answer: 40

Primary 4 (P4) Math: Area and Perimeter, Decimals, Pie Charts

Three of these P4 questions are marked hard, so expect more working. The set covers finding width from area, adding decimals, choosing the cheaper way to buy pears in bags, working from part of a pie chart back to the whole, and packing sweets and chocolates into identical bags. For the pear question, set each option out on its own line so the costs are easy to compare.

Primary 4 (P4) Daily 5 video for 28 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Area and Perimeter · easy

The area of a rectangle is

44\text{ cm}^2

. Its length is

11\text{ cm}

. What is its width?

Show the worked solution

Hint 1

Area of a rectangle = length

\times

width.

Hint 2

Divide the area (

44

) by the length (

11

)

Answer: 4

Question 2 · Operations · medium

Add

4.17

and

2.27

Show the worked solution

Hint 1

Align the decimal points vertically.

Hint 2

Add as you would with whole numbers, keeping the decimal point in the same position

Answer: 6.44

Question 3 · Word Problems · hard

A shop sells pears in two ways: a small bag of

3

pears for

$2.00

, or a big bag of

6

pears for

$3.83

. Mrs Tan needs at least

12

pears. What is the least amount she must spend, buying only whole bags?

Show the worked solution

Hint 1

Find how many whole bags each option needs.

Hint 2

A big bag holds

6 \div 3 = 2

times as many pears

→ $2$ . Divide the $12$ -pear demand by each bag size and round up.

Final step

Small bags:

4 \times $2.00 = $8.00

. Big bags:

2 \times $3.83 = $7.66

. The big bags cost less

→ 7.66

Answer: 7.66

Question 4 · Understanding Pie Charts · hard

A pie chart shows

3

sections. Section A takes up

\frac{1}{2}

of the pie, Section B takes up

\frac{1}{4}

, and Section C takes up the rest. If Section C represents

22

people, what is the total number of people surveyed?

Pie Chart Sections

Show the worked solution

Hint 1

Find the fraction for Section C:

1 - \frac{1}{2} - \frac{1}{4} = \frac{1}{4}

Hint 2

\frac{1}{4}

22

people, then the whole (

1

unit) is

4

times that

Answer: 88

Question 5 · Factors and Multiples · hard

A shopkeeper has

24

sweets and

36

chocolates. She wants to pack them into identical gift bags, with no items left over, so that every bag has the same number of sweets and the same number of chocolates. What is the greatest number of bags she can make?

Show the worked solution

Hint 1

Find the highest common factor (HCF) of

24

and

36

Hint 2

The HCF gives the greatest number of identical bags that can be made

Answer: 12

Primary 5 (P5) Math: Whole Numbers, Fractions, Data Analysis

This P5 set covers multiplying by a multiple of a hundred, writing a fraction as a decimal, finding a percentage of a total from a pie chart, rounding to two decimal places, and a harder area question with two overlapping rectangles. In the overlap question, ask your child to look carefully at which part of the figure is shaded before working out any areas.

Primary 5 (P5) Daily 5 video for 28 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Multiplication by Multiples of 100 · easy

Find

134 \times 600

Show the worked solution

Hint 1

Split

600

into groups of 100:

600 = 6 \times 100

Hint 2

Multiply

134

6

134 \times 6 = 804

→ 804.

Final step

Multiply the result by 100:

804 \times 100 = 80400

→ 80400

Answer: 80400

Question 2 · Decimals · easy

Express

\frac{4}{5}

as a decimal.

Show the worked solution

Hint 1

To write a fraction as a decimal, divide its numerator by its denominator.

Hint 2

Write the fraction as a division:

4 \div 5

Final step

The quotient gives the decimal:

4 \div 5 = 0.8

→ 0.8

Answer: 0.8

Question 3 · Pie Charts · medium

A pie chart shows the distribution of fruits in a basket.

40\%

are Apples,

35\%

are Oranges, and the rest are Bananas. If there are

200

fruits in total, how many Apples are there?

Fruit Distribution

Show the worked solution

Hint 1

To find a percentage of a total, first find one tenth of the total.

Hint 2

Find one tenth:

200 \div 10 = 20

→ 20.

Final step

One tenth is

200 \div 10 = 20

; four tenths are

20 \times 4 = 80

→ 80

Answer: 80

Question 4 · Rounding · medium

Round

7.217

2

decimal places.

Show the worked solution

Hint 1

Identify the hundredths digit to keep and the following thousandths digit.

Hint 2

The thousandths digit is

7

→ 7.

Final step

The digit is at least five:

7.21 + 0.01 = 7.22

→ 7.22

Answer: 7.22

Question 5 · Composite Area · hard

Two identical rectangles, each

10\text{ cm}

5\text{ cm}

, overlap so that the overlapping part forms a square in the middle (this square is not shaded). The distance from the edge of the overlap square to the far end of a rectangle, measured along its

10\text{ cm}

side, is

8\text{ cm}

. Find the total shaded area.

Show the worked solution

Hint 1

The overlap square's side is the rectangle's length minus the given distance:

10 - 8 = 2\text{ cm}

Hint 2

Find the area of one rectangle:

10 \times 5 = 50\text{ cm}^2

Final step

The unshaded overlap square (area

2 \times 2 = 4\text{ cm}^2

) is counted in both rectangles, so subtract it twice:

2 \times 50 - 2 \times 4

→ 92

Answer: 92

Primary 6 (P6) Math: Decimals, Ratio, Geometry

The P6 questions start with dividing and rounding to one decimal place, then move to a ratio problem about a difference, a before-and-after money problem, the shaded area in a figure made of two rectangles, and a fraction problem about ice pops given away. Most need several steps. Once your child finds the value of one unit, encourage them to write it down clearly and reuse it.

Primary 6 (P6) Daily 5 video for 28 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Fraction-Decimal Conversion and Rounding · easy

Find the value of

7 \div 12

. Round your answer to 1 decimal place.

Show the worked solution

Hint 1

To round to 1 decimal place, divide 7 by 12 as far as the second decimal place.

Hint 2

Look at the second decimal digit: five or more means round up, and less than five means keep the first decimal digit.

Final step

Divide:

7 \div 12 \approx 0.58

. Its second decimal digit is five or more, so round up

→ 0.6

Answer: 0.6

Question 2 · Difference Problems · medium

The ratio of the number of marbles Charlie has to the number of marbles David has is

8:2

. If Charlie has

66

more marbles than David, how many marbles do they have altogether?

Show the worked solution

Hint 1

Find the difference in units (

8 - 2

)

→ $6$ units.

Hint 2

This difference represents

66

marbles. Find 1 unit (

66 \div 6

)

→ $11$ .

Final step

Multiply total units by the value of 1 unit (

10 \times 11

)

→ 110

Answer: 110

Question 3 · Before & After Problems · hard

\frac{1}{2}

of Peter's money was equal to

\frac{1}{3}

of Paul's money. After Peter spent

$25

and Paul spent

$40

, they had an equal amount of money left. How much did Peter have at first?

Show the worked solution

Hint 1

Write each starting amount in ratio units. Subtract each person's spending; the equal leftovers relate the units to the amounts spent.

Hint 2

The spending difference:

40 - 25 = 15

. Subtract the smaller unit count:

3 - 2 = 1

. One unit:

15 \div 1 = 15

Final step

Then Peter began with

2

units:

2 \times 15 = 30

→ 30

Answer: 30

Question 4 · Area of Composite Triangles · hard

AEGD

and

EBCG

are two identical rectangles, each measuring

16

cm by

9

cm. The length of

EF

is twice the length of

FG

. Find the area of the shaded parts in

\text{cm}^2

Show the worked solution

Hint 1

EF + FG = 9

cm and

EF

is twice

FG

, so

FG = 9 \div 3 = 3

→ 3.

Hint 2

Each shaded triangle has base

FG = 3

cm and height

16

cm (the width of one rectangle). Area of one triangle

= \frac{1}{2} \times 3 \times 16 = 24

→ 24.

Final step

Total shaded area

= 2 \times 24

→ 48

Answer: 48

Question 5 · Fraction Word Problems (Ratio and Remainder) · hard

Daniel made some lime and mango ice pops. At first, the number of lime ice pops was

\frac{2}{5}

the number of mango ice pops.

\frac{1}{4}

of the lime ice pops and

\frac{1}{5}

of the mango ice pops were given away. The number of mango ice pops left was

30

more than the number of lime ice pops left. How many ice pops did Daniel make in all?

Show the worked solution

Hint 1

1 - \frac{1}{4} = \frac{3}{4}

;

\frac{3}{4} \times \frac{2}{5} = \frac{3}{10}

and

1 - \frac{1}{5} = \frac{4}{5}

are the lime and mango ice pops left.

Hint 2

Their difference is

\frac{4}{5} - \frac{3}{10} = \frac{1}{2}

of the mango ice pops, or

30

ice pops.

Final step

30 \div (\frac{1}{2}) = 60

mango ice pops;

\frac{2}{5} \times 60 = 24

lime ice pops;

60 + 24 = 84

→ 84

Answer: 84

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Category	Symbols
Red	8 symbols
Blue	4 symbols
Green	7 symbols
Yellow	3 symbols

Category	Symbols
Dog	2 symbols
Cat	5 symbols
Fish	8 symbols
Bird	4 symbols

Category	Value
Adventure	42 students
Mystery	20 students
Fantasy	40 students
Sci-Fi	18 students

Category	Value
A	Value not shown
B	Value not shown
C	Value not shown

Daily 5 Math Practice: 28 Oct Worked Solutions

Try what you just learned

Primary 2 (P2) Math: Money, Whole Numbers, Statistics

Favourite Colours

Pets at Home

Primary 3 (P3) Math: Measurement, Statistics, Whole Numbers

Favourite Books

Primary 4 (P4) Math: Area and Perimeter, Decimals, Pie Charts

Pie Chart Sections

Primary 5 (P5) Math: Whole Numbers, Fractions, Data Analysis

Fruit Distribution

Primary 6 (P6) Math: Decimals, Ratio, Geometry

Keep learning

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