Daily 5 Math Practice: 2 Nov Worked Solutions

Checking homework is harder than it sounds. Your child shows you an answer, and you are not always sure whether the method behind it holds up. This post gives you something to check against. For each grade in this set, we have laid out the same five questions from the Daily 5 video, with every hint and worked step tucked inside a fold. Your child can attempt each question on their own first. Then the two of you can open the working together and compare it line by line, so the conversation is about the method and not only about whether the answer matches.

Scroll to your child's grade and play the video first. Then work through the five questions on paper with every fold closed. If a question will not budge, open its solution, read only Hint 1, and try again before reading further. Finish by comparing each line of working, not just the final answer.

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

This P3 set moves between shapes, data and number sense: the perimeter of a rectangle, reading one bar against a graph's scale, subtracting a round number in your head, changing minutes and seconds into seconds, and a harder story about a baker's cupcakes. In that story, notice which amount you already know and which amount the question is asking for.

Primary 3 (P3) Daily 5 video for 2 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Area and Perimeter · easy

A rectangle has a length of

7\text{ cm}

and a width of

9\text{ cm}

. Find its perimeter.

Show the worked solution

Hint 1

Perimeter of rectangle =

2 \times (\text{Length} + \text{Width})

\text{Length} + \text{Width} + \text{Length} + \text{Width}

Hint 2

Perimeter =

7 + 9 + 7 + 9

Answer: 32

Question 2 · Bar Graphs · easy

The bar graph shows animals in a zoo. How many animals are recorded for Monkeys?

Animals in a Zoo

Show the worked solution

Hint 1

Find the bar for Monkeys in the graph.

Hint 2

Read the value on the scale

Answer: 10

Question 3 · Mental Math · medium

What number is

200

less than

5451

Show the worked solution

Hint 1

Subtracting

200

only changes the digit in the hundreds place. What is the hundreds digit of

5451

→ $4$

Hint 2

Subtract

2

from the hundreds digit (

4 - 2 = 2

) and keep the other digits the same

Answer: 5251

Question 4 · Measurement · medium

Express

5\text{ min } 31\text{ s}

in seconds.

Show the worked solution

Hint 1

1\text{ minute} = 60\text{ seconds}

Hint 2

5\text{ minutes} = 5 \times 60 = 300\text{ seconds}

Final step

Add

31\text{ seconds}

300 + 31 = 331

→ 331

Answer: 331

Question 5 · Addition and Subtraction · hard

A baker had some cupcakes. After selling

104

cupcakes and giving

30

to his neighbors, he had

100

left. How many cupcakes did he bake at first?

Show the worked solution

Hint 1

Start with what was left:

100

Hint 2

Add back what was given away:

100 + 30 = 130

Final step

Add back what was sold/spent:

130 + 104 = 234

→ 234

Answer: 234

Primary 4 (P4) Math: Whole Numbers, Fractions, Decimals

Three of these five P4 questions are marked hard, so allow time for more than one line of working. The set covers rounding to the nearest hundred, finding what is left over after packing into equal boxes, a fraction story about pages read, a decimal problem about a tank and buckets, and a rectangle whose sides are linked. For the last three, a quick sketch of equal units helps.

Primary 4 (P4) Daily 5 video for 2 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Rounding and Estimation · medium

Round

16,200

to the nearest hundred.

Show the worked solution

Hint 1

Look at the digit in the tens place

→ 0.

Hint 2

If it is 5 or more, round up. Otherwise, round down

Answer: 16200

Question 2 · Operations · medium

A baker baked

1,627

cookies. He packed them into boxes of

6

. How many cookies were left unpacked?

Show the worked solution

Hint 1

Divide

1627

6

Hint 2

Find the remainder of the division

Answer: 1

Question 3 · Word Problems · hard

John read

\frac{1}{4}

of a book on Saturday and

\frac{1}{3}

of the book on Sunday. If he read

42

pages in total over the two days, how many pages are in the book altogether?

Show the worked solution

Hint 1

Write

\frac{1}{4}

\frac{3}{12}

and

\frac{1}{3}

\frac{4}{12}

before adding the parts.

Hint 2

Those parts total

42

pages. One part is

42 \div (3 + 4)

pages.

Final step

One part is

42 \div (3 + 4) = 6

pages. The whole book has

12

parts:

12 \times 6 = 72

→ 72

Answer: 72

Question 4 · Word Problems · hard

A tank and

2

buckets together hold

6.55\ell

of water. The tank holds as much water as

3

buckets. How much water does

1

bucket hold?

Show the worked solution

Hint 1

The tank (

3

buckets) plus

2

buckets makes

5

buckets in total:

3 + 2 = 5

units.

Hint 2

Divide the total volume by

5

to find

1

unit (one bucket):

6.55 \div 5

Answer: 1.31

Question 5 · Area and Perimeter · hard

The length of a rectangle is twice its width. If the perimeter is

42\text{ cm}

, what is the width?

Show the worked solution

Hint 1

The length is twice the width.

Hint 2

The length contributes 2 width-parts

→ 2 parts.

Final step

Each half has

2 + 1 = 3

width-parts. Full perimeter has

2 \times 3 = 6

width-parts. Width:

42 \div 6 = 7

→ 7

Answer: 7

Primary 5 (P5) Math: Fractions, Decimals, Volume

The P5 questions reward careful reading of what each fraction or ratio refers to. There is a fraction of a remainder, a kilometres-to-metres conversion, a missing length found from a box's volume, a grouping problem about runners, and sharing in a three-part ratio. In the remainder question, check whether each fraction is taken of the whole amount or only of what is left.

Primary 5 (P5) Daily 5 video for 2 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Fraction of a Remainder · medium

Mrs Chen bakes

100

pies. She sells

\frac{3}{10}

of them in the morning. In the afternoon she sells

\frac{1}{5}

of the remainder. How many pies are left?

Show the worked solution

Hint 1

Morning amount:

\frac{3}{10} \times 100 = 30

Hint 2

After morning:

100 - 30 = 70

Final step

Left after both:

70 - 14 = 56

→ 56

Answer: 56

Question 2 · Unit Conversions · medium

Convert

5.168km

into

m

Show the worked solution

Hint 1

To convert

km

m

, multiply by

1000

Hint 2

5.168 \times 1000

Answer: 5168

Question 3 · Basic Volume · medium

A rectangular box has a volume of

440\text{ cm}^3

. Its width is

5\text{ cm}

and its height is

11\text{ cm}

. Find its length.

Show the worked solution

Hint 1

Volume

= L \times W \times H

. So the missing dimension

= Volume \div (\text{product of other two dimensions})

Hint 2

Product of given sides:

... \times ... = ...

Final step

440 \div ...

→ 8

Answer: 8

Question 4 · 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

1909\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:

1909 \div 23

→ 83

Answer: 83

Question 5 · Ratio Word Problems · hard

Siti, John and Mary share

420

sweets in the ratio

3 : 4 : 7

. How many sweets does Siti get?

Show the worked solution

Hint 1

Total parts:

3 + 4 + 7 = 14

parts.

Hint 2

Value of 1 part:

420 \div 14 = 30

Final step

Siti gets

3

parts:

3 \times 30

→ 90

Answer: 90

Primary 6 (P6) Math: Measurement, Algebra, Volume

This P6 set includes a time comparison, substituting a value into an algebraic expression, finding a tank's base area from its volume, the shaded area inside two identical rectangles, and a price with a discount followed by GST. For the shaded-area question, mark every length you know on the diagram before working anything out. In the price question, notice which amount the GST is calculated on.

Primary 6 (P6) Daily 5 video for 2 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Time Word Problems (Comparison) · easy

Benson took 240 min to complete a race. He was 35 min slower than Carson. How long did Carson take to complete the race? Give your answer in min.

Show the worked solution

Hint 1

Benson was slower than Carson, so Carson took less time. Take 35 min away from Benson's time.

Hint 2

Split 35 min into tens and ones:

35 = 30 + 5

. Take 30 min away from Benson's time:

240 - 30 = 210

→ 210 min.

Final step

Take away the other 5 min:

210 - 5 = 205

. So Carson took

240 - 35 = 205

min

→ 205

Answer: 205

Question 2 · Algebraic Expressions · easy

Evaluate the expression

2a + 1

when

a = 5

Show the worked solution

Hint 1

Substitute

a = 5

into the expression:

2(5) + 1

Hint 2

Multiply first:

2 \times 5 = 10

Final step

Add

1

→ 11

Answer: 11

Question 3 · Volume of Cuboids · medium

A tank in the shape of a cuboid has a volume of

360\text{ cm}^3

and a height of

9\text{ cm}

. What is the base area of the tank?

Show the worked solution

Hint 1

Volume

=

Base Area

\times

Height.

Hint 2

Base Area

=

Volume

\div

Height

= 360 \div 9

Answer: 40

Question 4 · Area of Composite Triangles · hard

AEGD

and

EBCG

are two identical rectangles, each measuring

18

cm by

12

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 = 12

cm and

EF

is twice

FG

, so

FG = 12 \div 3 = 4

→ 4.

Hint 2

Each shaded triangle has base

FG = 4

cm and height

18

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

= \frac{1}{2} \times 4 \times 18 = 36

→ 36.

Final step

Total shaded area

= 2 \times 36

→ 72

Answer: 72

Question 5 · Percentage - Combined Charges · hard

A handbag originally costs

$200

. It is sold with a

30\%

discount and

10\%

GST is charged on the discounted price. Find the final price.

Show the worked solution

Hint 1

After the discount, the handbag's price has

100 - 30 = 70

percent left.

Hint 2

The discounted price of the handbag is

200 \times 70 \div 100 = 140

Final step

Its GST is

140 \times 10 \div 100 = 14

. Add the GST:

140 + 14 = 154

→ 154

Answer: 154

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Category	Value
Lions	34 animals
Tigers	12 animals
Bears	32 animals
Monkeys	10 animals

Daily 5 Math Practice: 2 Nov Worked Solutions

Try what you just learned

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

Animals in a Zoo

Primary 4 (P4) Math: Whole Numbers, Fractions, Decimals

Primary 5 (P5) Math: Fractions, Decimals, Volume

Primary 6 (P6) Math: Measurement, Algebra, Volume

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