Daily 5 Math Practice: 23 Oct Worked Solutions

Many parents will know this moment. Your child watches a short video solution, nods along, then tries a question alone and stalls at the first step. Or you sit down to help and cannot quite recall how the method in the video went. Following a worked solution and producing one are different skills, and the gap shows most when nobody is there to pause and explain. We wrote this post for that moment. It sets out the five questions from each of these videos, with every hint and step written out, so your child can try first and you can check the working together, at your own pace.

Find your child's grade below and watch that video. Then try all five questions on paper before opening any solution. When you open one, read the first hint and have another go before reading on, then compare your working with each step. The hints, steps and answers are the same as in the video.

Primary 1 (P1) Math: Money, Whole Numbers, Statistics

This P1 set covers counting coins in cents, equal groups, reading a picture graph to compare two days, number bonds, and taking away in a short story problem. Where a question shows a picture, let your child point to and count what they see before writing anything. For the number bond question, ask them to say which number is the whole and which are the parts.

Primary 1 (P1) Daily 5 video for 23 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Money · easy

Amy has

3

ten-cent coins and

1

five-cent coin. How many cents does she have altogether?

Show the worked solution

Hint 1

Look at the diagram. Count the ten-cent coins by adding:

10 + 10 + 10 = 30

cents.

Hint 2

The value of

1

five-cent coin is

5

cents.

Final step

Add the two values:

30 + 5

→ 35

Answer: 35

Question 2 · Multiplication and Division · easy

Find the sum of

3

groups of

2

Show the worked solution

Hint 1

The bar model shows

3

equal parts of

2

Hint 2

Add them altogether:

2 + 2 + 2

Answer: 6

Question 3 · Picture Graphs · medium

The picture graph shows books read. How many more books were read on Monday than on Thursday?

Books Read

1 picture = 1 book

Monday

Tuesday

Wednesday

Thursday

Show the worked solution

Hint 1

Count the symbols for Monday and Thursday.

Hint 2

Split the smaller count:

2 = 1 + 1

. Then subtract one part:

5 - 1 = 4

→ 4.

Final step

Subtract both parts:

5 - 1 - 1 = 3

→ 3

Answer: 3

Question 4 · Number Bonds · medium

5

and what number make

12

Show the worked solution

Hint 1

Find the missing part by subtracting the known part from the whole.

Hint 2

Split the known part:

1 + 4 = 5

. Then subtract one part:

12 - 1 = 11

→ 11.

Final step

Subtract both parts:

12 - 1 - 4 = 7

→ 7

Answer: 7

Question 5 · Addition and Subtraction · medium

Raj had

72

marbles. He lost

5

of them. How many marbles does Raj have now?

Show the worked solution

Hint 1

The total is

72

and one part is

5

. Find the missing part.

Hint 2

Subtract

5

from

72

Answer: 67

Primary 2 (P2) Math: Measurement, Money, Statistics

The P2 questions practise changing centimetres into metres and centimetres, writing a dollar amount in cents, reading a picture graph where each symbol stands for more than one pupil, and subtracting three-digit numbers with regrouping. The last one is a harder money story. Before counting symbols, check what one symbol is worth. In the money story, notice that you know the ending and need the start.

Primary 2 (P2) Daily 5 video for 23 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Measurement · easy

Convert

183\text{ cm}

to meters and centimeters:

183\text{ cm} = \text{? m }83\text{ cm}

What is the missing number of meters?

Show the worked solution

Hint 1

Use

100\text{ cm} = 1\text{ m}

to split the length.

Hint 2

Take the leftover centimetres away from the whole length:

183 - 83

. What is left is made of whole hundreds of centimetres.

Final step

183\text{ cm} = 1\text{ m}

and

83\text{ cm}

→ 1

Answer: 1

Question 2 · Dollars and cents · easy

Express

$8.10

in cents.

Show the worked solution

Hint 1

Convert dollars to cents using

1 \text{ dollar} = 100 \text{ cents}

Hint 2

Change the dollars:

8 \times 100 = 800

→ 800 cents.

Final step

Add the cents:

8 \times 100 + 10 = 810

→ 810

Answer: 810

Question 3 · Picture Graphs with Scales · easy

The picture graph shows pets at home. How many pupils have a Bird?

Pets at Home

1 picture = 5 pupils

Dog

Cat

Fish

Bird

Show the worked solution

Hint 1

In this graph, one symbol stands for more than one thing. Multiply the symbols by what one symbol is worth.

Hint 2

Try this: Ravi's chart shows

7

symbols, and each symbol means

2

cans. That makes

7 \times 2 = 14

cans

→ 14.

Final step

Count the symbols for Bird, then multiply the count by 5

→ 10

Answer: 10

Question 4 · Addition and Subtraction · easy

792 - 434 =

Show the worked solution

Hint 1

Split

792 - 434

by place value.

Hint 2

Regroup 1 ten:

2 + 10 - 4 = 8

→ 8.

Final step

Subtract the tens and hundreds too:

792 - 434 = 358

→ 358

Answer: 358

Question 5 · Addition and Subtraction · hard

Ali had some money. He spent

$41

and lost

$18

. He had

$11

left. How much money did he have at first?

Show the worked solution

Hint 1

Start with the amount left:

11

Hint 2

Add back what was given away:

11 + 18 = 29

Final step

Add back what was sold/spent/eaten:

29 + 41 = 70

→ 70

Answer: 70

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

This P3 set mixes number work and measurement: adding four-digit numbers, changing kilometres and metres into metres, finding a difference on a bar graph, the value of a digit in a four-digit number, and the area of a square. Read each bar against the scale before subtracting. For the area question, remember that area is measured in square centimetres, not centimetres.

Primary 3 (P3) Daily 5 video for 23 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Addition and Subtraction · easy

2974 + 3005 =

Show the worked solution

Hint 1

Add the ones digit first:

4 + 5 = 9

Hint 2

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

Answer: 5979

Question 2 · Measurement · easy

Express

6\text{ km } 754\text{ m}

in metres.

Show the worked solution

Hint 1

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

Hint 2

Convert the whole kilometres first:

6 \times 1000 = 6000

→ 6000 m.

Final step

Add

754\text{ m}

6000 + 754 = 6754

→ 6754

Answer: 6754

Question 3 · Bar Graphs · easy

The bar graph shows favourite books. How many more students are there for Adventure than Sci-Fi?

Favourite Books

Show the worked solution

Hint 1

Find the value for Adventure (

36

) and the value for Sci-Fi (

4

Hint 2

Find the difference between them:

36 - 4

Answer: 32

Question 4 · Numbers up to 10,000 · easy

What is the value of the digit

5

5624

Show the worked solution

Hint 1

Split

5624

into its thousands, hundreds, tens, and ones parts.

Hint 2

Add the other place-value parts:

600 + 20 + 4 = 624

→ $624$ .

Final step

The number is

5624

, so the digit's thousands value is

5624 - 624 = 5000

→ 5000

Answer: 5000

Question 5 · Area and Perimeter · medium

A square has a side of

10\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 10 = 20

square centimetres

→ 20 square centimetres.

Final step

Area =

10 \times 10 = 100

→ 100

Answer: 100

Primary 4 (P4) Math: Whole Numbers, Pie Charts, Decimals

The P4 questions include subtraction with regrouping, reading a pie chart, a two-step money problem with decimals, a wire bent into different shapes, and a heads-and-legs puzzle that uses the assumption method. Three are marked hard, so expect more than one line of working. In the wire question, ask your child what stays the same when the wire changes shape.

Primary 4 (P4) Daily 5 video for 23 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Operations · easy

Find the value of

2,517 - 127

Show the worked solution

Hint 1

Subtract

127

from

2517

, regrouping across place values where needed.

Hint 2

Check your working column by column

Answer: 2390

Question 2 · Understanding Pie Charts · medium

In a pie chart showing the favorite fruits of

200

students, exactly half the chart is shaded for "Apples". How many students chose Apples?

Favorite Fruits

Show the worked solution

Hint 1

Half of a quantity means dividing it by 2.

Hint 2

Divide

200

by 2

Answer: 100

Question 3 · Word Problems · hard

Ravi had

$45.40

. He spent

$34.32

on a book. He then used the rest of his money to buy

4

identical pens. Find the price of

1

pen.

Show the worked solution

Hint 1

Subtract the book price from Ravi's starting amount.

Hint 2

Work out

$45.40 - $34.32

Final step

Divide the remaining amount by 4:

$45.40 - $34.32 = $11.08

;

$11.08 \div 4 = $2.77

→ 2.77

Answer: 2.77

Question 4 · Area and Perimeter · hard

A wire is bent to form a square of side

11\text{ cm}

. The same wire is then straightened and bent again to form a rectangle with a length of

17\text{ cm}

. What is the width of the rectangle?

Show the worked solution

Hint 1

Bending the wire does not change its length, so it equals the perimeter of the square and the rectangle.

Hint 2

In a rectangle, two sides make half the perimeter. That half-perimeter is the length plus the width, so the width is what remains after taking away the given length.

Final step

The square perimeter is

4 \times 11 = 44\text{ cm}

. Half is

44 \div 2 = 22\text{ cm}

, so the width is

22 - 17 = 5\text{ cm}

→ 5

Answer: 5

Question 5 · Heuristics · hard

A farmer has a mix of ducks and cows on his farm. There are

16

heads and

54

legs in total. How many ducks are there?

Show the worked solution

Hint 1

Assume all are cows:

16 \times 4 = 64

legs.

Hint 2

Find the difference between assumed legs and actual legs (

64 - 54

)

→ 10.

Final step

Divide by the difference in legs per animal (

4 - 2 = 2

)

→ 5

Answer: 5

Primary 5 (P5) Math: Whole Numbers, Percentage, Decimals

This P5 set covers dividing by a hundred, finding a percentage of a quantity, rounding a decimal to two decimal places, a rate problem, and the volume of water in a tank that is only partly filled. For the percentage question, notice how the solution finds ten percent first and builds from there. In the tank question, check whether you need the whole tank or only the water.

Primary 5 (P5) Daily 5 video for 23 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Multiplication and Division by Powers of 10 · easy

What is the value of

72,700 \div 100

Show the worked solution

Hint 1

When dividing by

10

100

, or

1000

, remove the same number of zeros from the end of the number.

Hint 2

Remove

2

zero(s) from

72,700

Answer: 727

Question 2 · Percentage of a Quantity · easy

40\%

of the 250 students in a school wear glasses. How many students wear glasses?

Show the worked solution

Hint 1

For the group of students that wear glasses, find 10% first.

Hint 2

10% of these students is

250 \div 10 = 25

→ 25 students.

Final step

Scale the 10% group to 40%:

25 \times 40 \div 10 = 100

→ 100

Answer: 100

Question 3 · Rounding · medium

Round

7.251

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

1

→ 1.

Final step

The third decimal digit is below five, so

7.251

rounds to

7.25

→ 7.25

Answer: 7.25

Question 4 · Rate Word Problems · medium

A pump can produce

20

litres per minute. How many minutes will it take to produce

500

litres?

Show the worked solution

Hint 1

Time taken

=

Total

\div

Rate.

Hint 2

500 \div 20

Answer: 25

Question 5 · Water Depth · hard

A rectangular tank is

\frac{1}{5}

filled with water. The tank measures

20\text{ cm}

15\text{ cm}

15\text{ cm}

. What is the volume of water in the tank in

\text{cm}^3

Show the worked solution

Hint 1

Find the total volume of the tank:

20 \times 15 \times 15 = 4500\text{ cm}^3

Hint 2

Find

\frac{1}{5}

of the total volume:

\frac{1}{5} \times 4500

Answer: 900

Primary 6 (P6) Math: Volume, Ratio, Circles

The P6 questions cover finding a missing height from a cuboid's volume, a ratio problem worked in units, the circumference of a circle, the fourth angle of a quadrilateral, and a harder fraction problem about leftovers. For each question, name the rule or method first, then put in the numbers. In the last question, read one sentence at a time and note what each one tells you.

Primary 6 (P6) Daily 5 video for 23 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Volume of Cuboids · medium

A cuboid has a volume of

180\text{ cm}^3

. Its length is

6\text{ cm}

and its width is

6\text{ cm}

. Find its height. (Give your answer in cm.)

Show the worked solution

Hint 1

Volume

=

length

\times

width

\times

height.

Hint 2

Height

=

Volume

\div

(length

\times

width)

= 180 \div (6 \times 6) = 180 \div 36

Answer: 5

Question 2 · Word Problems · medium

The ratio of the number of blue marbles to the number of red marbles is

5:7

. If there are

30

blue marbles, how many red marbles are there?

Show the worked solution

Hint 1

5

units represents

30

blue marbles. Find 1 unit (

30 \div 5

)

→ $6$ .

Hint 2

Multiply the unit value by red marbles's units (

7 \times 6

)

Answer: 42

Question 3 · Circumference of a Circle · medium

A circle has a radius of

21\text{ cm}

. Taking

\pi = 22/7

, find its circumference.

Show the worked solution

Hint 1

Use the formula: Circumference

= 2 \times \pi \times r

→ $2 \times 22/7 \times 21$ .

Hint 2

Calculate the value

Answer: 132

Question 4 · Angles in Geometric Figures · medium

A quadrilateral has three angles of

95^\circ

85^\circ

and

110^\circ

. Find the fourth angle.

Show the worked solution

Hint 1

The sum of angles in a quadrilateral is

360^\circ

Hint 2

Fourth angle

= 360 - 95 - 85 - 110

Answer: 70

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

Siti baked some banana and walnut muffins. At first, the number of banana muffins was

\frac{1}{2}

the number of walnut muffins.

\frac{1}{3}

of the banana muffins and

\frac{1}{2}

of the walnut muffins were given away. The number of walnut muffins left was

15

more than the number of banana muffins left. How many muffins did Siti bake in all?

Show the worked solution

Hint 1

1 - \frac{1}{3} = \frac{2}{3}

;

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

and

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

are the banana and walnut muffins left.

Hint 2

Their difference is

\frac{1}{2} - \frac{1}{3} = \frac{1}{6}

of the walnut muffins, or

15

muffins.

Final step

15 \div (\frac{1}{6}) = 90

walnut muffins;

\frac{1}{2} \times 90 = 45

banana muffins;

90 + 45 = 135

→ 135

Answer: 135

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Category	Symbols
Monday	5 symbols
Tuesday	4 symbols
Wednesday	3 symbols
Thursday	2 symbols

Category	Symbols
Dog	4 symbols
Cat	5 symbols
Fish	6 symbols
Bird	2 symbols

Category	Value
Adventure	36 students
Mystery	22 students
Fantasy	14 students
Sci-Fi	4 students

Category	Value
Apples	Value not shown
Others	Value not shown

Daily 5 Math Practice: 23 Oct Worked Solutions

Try what you just learned

Primary 1 (P1) Math: Money, Whole Numbers, Statistics

Books Read

Primary 2 (P2) Math: Measurement, Money, Statistics

Pets at Home

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

Favourite Books

Primary 4 (P4) Math: Whole Numbers, Pie Charts, Decimals

Favorite Fruits

Primary 5 (P5) Math: Whole Numbers, Percentage, Decimals

Primary 6 (P6) Math: Volume, Ratio, Circles

Keep learning

Keep practising