Daily 5 Math Practice: 25 Oct Worked Solutions

Ask a child to explain how they got an answer, and you often learn more than the answer itself tells you. Sometimes the method is sound and a small slip crept in; sometimes a right answer came from a lucky guess. Talking through the working, even briefly, helps your child notice which it was. The questions in this post work well for that. Each one comes from a Daily 5 video, with the full working hidden until you open the worked solution, so your child can solve it, say how, and then compare their reasoning with ours line by line.

Scroll to your child's grade and watch the short video together. Afterwards, have them attempt each question on paper and explain their method out loud. Only then open the worked solution. If they were stuck, reveal one hint, pause, and let them carry on alone before checking the rest.

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

This P1 set counts coins worth ten and five cents, makes equal groups of ten, takes away in a short class story, finds a missing part with number bonds, and compares two rows of a picture graph. Counting aloud helps at this age. For the picture graph, ask your child which row is longer before they work out how many more.

Primary 1 (P1) Daily 5 video for 25 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Money · easy

Amy has

4

ten-cent coins and

4

five-cent coins. 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 + 10 = 40

cents.

Hint 2

Count the five-cent coins by adding:

5 + 5 + 5 + 5 = 20

cents.

Final step

Add the two values:

40 + 20

→ 60

Answer: 60

Question 2 · Multiplication and Division · easy

How many is

3

groups of

10

Show the worked solution

Hint 1

The bar model shows

3

equal parts of

10

Hint 2

Add them altogether:

10 + 10 + 10

Answer: 30

Question 3 · Addition and Subtraction · medium

A class has

89

pupils.

6

pupils are absent today. How many pupils are present?

Show the worked solution

Hint 1

The total is

89

and one part is

6

. Find the missing part.

Hint 2

Subtract

6

from

89

Answer: 83

Question 4 · Number Bonds · medium

Ben has

15

marbles in two bags. One bag has

7

marbles. How many are in the other bag?

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 + 6 = 7

. Then subtract one part:

15 - 1 = 14

→ 14.

Final step

Subtract both parts:

15 - 1 - 6 = 8

→ 8

Answer: 8

Question 5 · Picture Graphs · medium

The picture graph shows favourite fruits. How many more children chose Apple than Pear?

Favourite Fruits

1 picture = 1 children

Apple

Mango

Grape

Pear

Show the worked solution

Hint 1

Count the symbols for Apple and Pear.

Hint 2

Split the smaller count:

4 = 2 + 2

. Then subtract one part:

7 - 2 = 5

→ 5.

Final step

Subtract both parts:

7 - 2 - 2 = 3

→ 3

Answer: 3

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

The P2 questions change a dollar amount into cents, read a picture graph where each symbol is worth more than one pupil, split a length into metres and centimetres, and add three-digit numbers. The two additions look alike, so it is worth comparing them side by side. Ask your child to point to the column where each one needs regrouping.

Primary 2 (P2) Daily 5 video for 25 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Dollars and cents · easy

Express

$3.50

in cents.

Show the worked solution

Hint 1

Convert dollars to cents using

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

Hint 2

Change the dollars:

3 \times 100 = 300

→ 300 cents.

Final step

Add the cents:

3 \times 100 + 50 = 350

→ 350

Answer: 350

Question 2 · Picture Graphs with Scales · easy

The picture graph shows sports played. How many more pupils play Swimming than Badminton?

Sports Played

1 picture = 3 pupils

Football

Swimming

Badminton

Cycling

Show the worked solution

Hint 1

Count the symbols for Swimming and for Badminton.

Hint 2

Each symbol is worth 3 pupils. Multiply each row's symbol count by 3, then compare the two amounts.

Final step

Swimming:

8 \times 3 = 24

; Badminton:

4 \times 3 = 12

; subtract:

24 - 12 = 12

→ 12

Answer: 12

Question 3 · Measurement · easy

Convert

217\text{ cm}

to meters and centimeters:

217\text{ cm} = \text{? m }17\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:

217 - 17

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

Final step

217\text{ cm} = 2\text{ m}

and

17\text{ cm}

→ 2

Answer: 2

Question 4 · Addition and Subtraction · easy

341 + 372 =

Show the worked solution

Hint 1

Add the ones digit first:

1 + 2 = 3

Hint 2

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

Answer: 713

Question 5 · Addition and Subtraction · easy

375 + 406 =

Show the worked solution

Hint 1

Add the ones digit first:

5 + 6 = 11

Hint 2

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

Answer: 781

Primary 3 (P3) Math: Area and Perimeter, Whole Numbers, Measurement

This P3 set covers the area of a rectangle, division with a remainder, adding distances along a route, and two hard word problems: a guess-and-check with notes and a working-backwards story across school terms. In the route question, have your child trace the path with a finger and stop at the right place. For the term-by-term story, list the changes in order first.

Primary 3 (P3) Daily 5 video for 25 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Area and Perimeter · easy

A rectangle has a length of

9\text{ cm}

and a width of

5\text{ cm}

. Find its area.

Show the worked solution

Hint 1

Area of rectangle = Length

\times

Width.

Hint 2

Area =

9 \times 5

Answer: 45

Question 2 · Multiplication and Division · medium

Divide

47

5

. 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:

47 \div 5

. Then see what is left.

Final step

The full quotient is

9

, so

47 = 9 \times 5 + 2

→ 2

Answer: 2

Question 3 · Length — adding distances · medium

Siti travels from her house by bus to buy lunch at the coffeeshop. How far is the coffeeshop from her house? (House to bus stop:

450

m; bus stop to coffee shop:

1820

m; coffee shop to library:

600

m.) Give your answer in m.

Show the worked solution

Hint 1

Look at the route and find the place you are asked about. Add only the distances from the house to that place. Leave out the parts of the route that come after it.

Hint 2

Add the hundreds parts first:

400 + 800 = 1200

→ 1200 m.

Final step

The coffeeshop is after the first two parts of the route:

450 + 1820 = 2270

→ 2270

Answer: 2270

Question 4 · Guess-and-Check with Money · hard

The total amount of

15

$2

notes and

$5

notes is

$48

. How many

$5

notes are there?

Show the worked solution

Hint 1

Suppose all

15

notes were

$2

notes. What would the total be? Compare it with the real total.

Hint 2

Each swap adds

5 - 2 = 3

dollars

→ $3$ dollars per swap. Compare the total with the all- $2$ total.

Final step

All-

2

total:

2 \times 15 = 30

. Shortfall:

48 - 30 = 18

. Each swap adds

5 - 2 = 3

. The number of

$5

notes is

18 \div 3 = 6

→ 6

Answer: 6

Question 5 · Working Backwards Word Problems · hard

A new dance group was formed at the beginning of the year. In Term 1, some students joined the dance group. At the beginning of Term 2,

40

students left the dance group and

18

students joined the dance group. At the beginning of Term 3,

70

students joined the dance group. There were a total of

150

students in the dance group in the end. How many students joined the dance group at the beginning of the year?

Show the worked solution

Hint 1

Undo Term 3:

150 - 70 = 80

Hint 2

Undo Term 2's join:

80 - 18 = 62

Final step

Undo Term 2's leave:

62 + 40 = 102

→ 102

Answer: 102

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

The P4 questions include finding a square's perimeter from its area, multiplying by a two-digit number, reading a pie chart, a decimal word problem about water, and the perimeter of an L-shaped tile. Perimeter appears twice, in quite different forms. On the L-shape, ask your child to label every edge, including the ones the figure leaves unmarked, before adding.

Primary 4 (P4) Daily 5 video for 25 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Area and Perimeter · medium

What is the perimeter of a square with an area of

49\text{ cm}^2

Show the worked solution

Hint 1

A square has four equal sides.

Hint 2

Find the side: it is the number that multiplies by itself to give the area.

Final step

The side is

7\text{ cm}

because

7 \times 7 = 49

. Perimeter

= 4 \times 7 = 28\text{ cm}

→ 28

Answer: 28

Question 2 · Operations · medium

Find the product of

800

and

46

Show the worked solution

Hint 1

Multiply

800

by the ones digit of

46

(

6

Hint 2

Multiply

800

by the tens digit of

46

(

40

Final step

Add the two results together

→ 36800

Answer: 36800

Question 3 · Understanding Pie Charts · medium

In a pie chart showing the favorite fruits of

100

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

100

by 2

Answer: 50

Question 4 · Word Problems · hard

A tank contains

11.9\ell

of water. Every hour,

1.0\ell

of water leaks out. How much water is left in the tank after

4

hours?

Show the worked solution

Hint 1

Find the total water leaked:

1.0 \times 4 = 4\ell

Hint 2

Subtract this from the starting amount:

11.9 - 4

Answer: 7.9

Question 5 · Composite Figures · hard

The figure below is an L-shaped tile formed by cutting a small rectangular notch out of a corner of a big rectangle. The big rectangle is

15\text{ cm}

long and

9\text{ cm}

wide. The notch cut out measures

6\text{ cm}

2\text{ cm}

. Find the perimeter of the L-shaped tile.

Show the worked solution

Hint 1

The missing top edge

= 15 - 6 = 9\text{ cm}

Hint 2

The missing side edge

= 9 - 2 = 7\text{ cm}

Final step

Add all 6 edges:

15 + 7 + 6 + 2 + 9 + 9

→ 48

Answer: 48

Primary 5 (P5) Math: Ratio, Data Analysis, Geometry

This P5 set includes equivalent ratios, a percentage question with a pie chart, the area of a parallelogram, dividing a large number by a hundred, and a hard grouping problem about runners. For the parallelogram, check which length is the perpendicular height. In the grouping question, ask your child what one small group of runners would look like before they divide.

Primary 5 (P5) Daily 5 video for 25 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Equivalent Ratios · easy

3 : 4 = \mathbf{?} : 12

. Find the missing number.

Show the worked solution

Hint 1

Equivalent ratios use the same number to multiply both terms.

Hint 2

Find the multiplier from the complete side:

12 \div 4 = 3

→ 3.

Final step

Reuse that multiplier for the missing term:

3 \times 3 = 9

→ 9

Answer: 9

Question 2 · 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

100

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:

100 \div 10 = 10

→ 10.

Final step

One tenth is

100 \div 10 = 10

; four tenths are

10 \times 4 = 40

→ 40

Answer: 40

Question 3 · Area of Parallelogram · medium

Find the area of a parallelogram with base

10\text{ cm}

and perpendicular height

6\text{ cm}

Show the worked solution

Hint 1

Area of parallelogram

=

base

\times

height.

Hint 2

10 \times 6

Answer: 60

Question 4 · Word Problems · medium

A factory produces

170,700

toys a month. If it packs them into boxes of

100

, how many boxes does it need?

Show the worked solution

Hint 1

Divide the total number of toys (

170,700

) by the number of toys per box (

100

Hint 2

This is a division by a power of 10

Answer: 1707

Question 5 · Grouping · hard

At a run,

\frac{1}{4}

of the runners achieved

8\text{ km}

. The rest achieved

5\text{ km}

. The runners achieved a total of

6509\text{ km}

. How many runners achieved

8\text{ km}

Show the worked solution

Hint 1

Find the ratio of the two types. Since

\frac{1}{4}

achieved

8\text{ km}

, the ratio is

1 : 3

Hint 2

Group them:

1

\times

8

3

\times

5

23\text{ km}

per group.

Final step

Find the number of groups:

6509 \div 23

→ 283

Answer: 283

Primary 6 (P6) Math: Measurement, Data Analysis, Algebra

The P6 questions cover a time comparison, reading a line graph, evaluating an algebraic expression, a percentage from a pie chart, and a calculator-error problem. In the race question, ask your child who took longer before they add or subtract anything. The calculator question rewards working backwards, so ask what the calculator actually worked out.

Primary 6 (P6) Daily 5 video for 25 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Time Word Problems (Comparison) · easy

Benson took 180 min to complete a race. He was 20 min faster than Carson. How long did Carson take to complete the race? Give your answer in min.

Show the worked solution

Hint 1

Benson was faster than Carson, so Carson took more time. Add 20 min to Benson's time.

Hint 2

Split 20 min into 10 min and the rest:

20 - 10 = 10

. Add 10 min to Benson's time:

180 + 10 = 190

→ 190 min.

Final step

Add the other 10 min:

190 + 10 = 200

. So Carson took

180 + 20 = 200

min

→ 200

Answer: 200

Question 2 · Line Graphs · easy

The line graph shows the number of bicycles sold each month from January to May. What was the increase in the number of bicycles sold from March to April?

Number of Bicycles Sold Each Month

Show the worked solution

Hint 1

Read the value for March off the graph

→ $180$ .

Hint 2

Read the value for April off the graph

→ $330$ .

Final step

Subtract to find the increase:

330 - 180

→ 150

Answer: 150

Question 3 · Algebraic Expressions · easy

Evaluate the expression

4a + 5

when

a = 3

Show the worked solution

Hint 1

Substitute

a = 3

into the expression:

4(3) + 5

Hint 2

Multiply first:

4 \times 3 = 12

Final step

Add

5

→ 17

Answer: 17

Question 4 · 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

300

fruits in total, how many Apples are there?

Fruit Distribution

Show the worked solution

Hint 1

Identify the percentage for Apples (

40\%

)

→ $40\%$ .

Hint 2

Multiply the total by the percentage:

300 \times \frac{40}{100}

Answer: 120

Question 5 · Calculator Error Problems · medium

Jason used a calculator to divide a 4-digit number by a 1-digit number. For the 1-digit number, he made a mistake by pressing

8

instead of

6

. He obtained an incorrect answer of

264

. What should be the correct answer?

Show the worked solution

Hint 1

Work backwards: multiply the wrong answer by the divisor that was pressed.

Hint 2

The dividend is

264 \times 8

Final step

264 \times 8 = 2112

, then divide by 6:

2112 \div 6 = 352

→ 352

Answer: 352

Keep learning

Keep practising

Ready for more? Try a free interactive worksheet. No signup or credit card needed.

Category	Symbols
Apple	7 symbols
Mango	6 symbols
Grape	5 symbols
Pear	4 symbols

Category	Symbols
Football	5 symbols
Swimming	8 symbols
Badminton	4 symbols
Cycling	7 symbols

Category	Value
Apples	Value not shown
Others	Value not shown

Category	Value
Apples	40 %
Oranges	35 %
Bananas	Value not shown

Category	Value
Jan	150 bicycles
Feb	210 bicycles
Mar	180 bicycles
Apr	330 bicycles
May	260 bicycles

Daily 5 Math Practice: 25 Oct Worked Solutions

Try what you just learned

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

Favourite Fruits

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

Sports Played

Primary 3 (P3) Math: Area and Perimeter, Whole Numbers, Measurement

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

Favorite Fruits

Primary 5 (P5) Math: Ratio, Data Analysis, Geometry

Fruit Distribution

Primary 6 (P6) Math: Measurement, Data Analysis, Algebra

Number of Bicycles Sold Each Month

Fruit Distribution

Keep learning

Keep practising