Daily 5 Math Practice: 1 Nov Worked Solutions

Ask a child how they got an answer, and you learn a lot. A clear explanation usually means the method is secure. A shrug, or a jump straight to the number, can mean the answer came from a lucky guess or a half-remembered rule. Explaining a step in their own words helps children keep the reasoning behind it, not just the routine. That is how we suggest using this post. Each grade has the five questions from its Daily 5 video with every hint and step written out, so the hints can double as prompts: read one, then ask your child what it means before moving on.

Choose your child's grade and watch the video together. Then let your child answer all five questions on paper. When you open a solution, read the first hint aloud and ask your child to explain the next step before you reveal it. The hints, steps and answers match the video.

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

This P3 set covers the area of a rectangle, changing kilograms and grams into grams, a difference story, finding a missing numerator in a pair of equivalent fractions, and dividing a three-digit number by a one-digit number. For the fractions, ask your child how the two denominators are related. In the division, encourage setting out each step neatly so nothing is lost along the way.

Primary 3 (P3) Daily 5 video for 1 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

6\text{ cm}

and a width of

6\text{ cm}

. Find its area.

Show the worked solution

Hint 1

Area of rectangle = Length

\times

Width.

Hint 2

Area =

6 \times 6

Answer: 36

Question 2 · Measurement · easy

Express

5\text{ kg } 132\text{ g}

in grams.

Show the worked solution

Hint 1

1\text{ kg} = 1000\text{ g}

Hint 2

Convert the whole kilograms first:

5 \times 1000 = 5000

→ 5000 g.

Final step

Add

132\text{ g}

5000 + 132 = 5132

→ 5132

Answer: 5132

Question 3 · Difference Word Problem · easy

The difference between two numbers is

2759

. The greater number is

4310

. What is the smaller number?

Show the worked solution

Hint 1

The smaller number is the greater number minus the difference.

Hint 2

The difference has a remaining part:

2759 - 2000 = 759

. Take away its thousands:

4310 - 2000 = 2310

→ $2310$ .

Final step

Finish the subtraction:

2310 - 759 = 1551

→ 1551

Answer: 1551

Question 4 · Equivalent fractions · easy

Find the missing numerator:

\frac{1}{6} = \frac{?}{12}

Show the worked solution

Hint 1

Compare the two denominators to find the scale factor.

Hint 2

Find the scale factor:

12 \div 6

Final step

12 \div 6 = 2

. Multiply the numerator by the same factor:

1 \times 2 = 2

→ 2

Answer: 2

Question 5 · Multiplication and Division · medium

168 \div 6 =

Show the worked solution

Hint 1

Divide the tens/hundreds part first.

Hint 2

Work through the division

Answer: 28

Primary 4 (P4) Math: Fractions, Decimals, Pie Charts

The P4 questions practise finding a fraction of a quantity, multiplying a decimal by a whole number, rounding to one decimal place, and two hard problems: finding a total from one section of a pie chart, and packing items into gift bags. In the multiplication, estimate first so the decimal point lands sensibly. For the gift bags, check that both kinds of item are shared with nothing left over.

Primary 4 (P4) Daily 5 video for 1 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Fraction of a Set · medium

Find the value of

\frac{3}{5}

30

Show the worked solution

Hint 1

Split the total into

5

equal groups, then count the groups named by the numerator.

Hint 2

The total is split into

5

groups. One equal group is one part

→ 1 group.

Final step

One group is

30 \div 5 = 6

. Take

3

groups:

6 \times 3 = 18

→ 18

Answer: 18

Question 2 · Operations · medium

Multiply

8.31

9

Show the worked solution

Hint 1

Split the decimal into its ones, tenths, and hundredths parts.

Hint 2

Multiply the hundredths part first:

0.01 \times 9 = 0.09

→ $0.09$ .

Final step

Multiply each place-value part:

8 \times 9 + 0.3 \times 9 + 0.01 \times 9 = 74.79

→ 74.79

Answer: 74.79

Question 3 · Rounding · medium

Round

7.200

1

decimal place.

Show the worked solution

Hint 1

Find the digit one place to the right of the rounding place.

Hint 2

The deciding digit is

0

, which is less than five

→ $0$ .

Final step

Round down:

7.200 \to 7.2

→ 7.2

Answer: 7.2

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

25

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}

25

people, then the whole (

1

unit) is

4

times that

Answer: 100

Question 5 · Factors and Multiples · hard

A shopkeeper has

28

stickers and

42

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

Show the worked solution

Hint 1

Find the highest common factor (HCF) of

28

and

42

Hint 2

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

Answer: 14

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

This P5 set covers a fraction of a set, writing a fraction as a decimal, the order of operations, changing litres given as a decimal into millilitres, and a hard rate problem where a pump changes speed partway. In the order of operations question, ask your child which operation comes first and why. In the pump problem, a quick sketch of the two stages of filling helps.

Primary 5 (P5) Daily 5 video for 1 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Fraction of a Set · easy

A sheet has

28

stickers.

\frac{3}{4}

of them are shiny. How many shiny stickers are there?

Show the worked solution

Hint 1

Split the whole into

4

equal parts; the fraction uses

3

parts.

Hint 2

One part is

28 \div 4 = 7

→ 7.

Final step

Find

3

parts:

7 \times 3 = 21

→ 21

Answer: 21

Question 2 · Decimals · easy

Express

\frac{3}{4}

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:

3 \div 4

Final step

The quotient gives the decimal:

3 \div 4 = 0.75

→ 0.75

Answer: 0.75

Question 3 · Order of Operations · medium

Find the value of

20 + 6 \times 2

Show the worked solution

Hint 1

Use BODMAS: Multiplication comes before Addition

→ $6 \times 2 = 12$ .

Hint 2

Add the result to

20

Answer: 32

Question 4 · Unit Conversions · medium

Convert

5.134ℓ

into

ml

Show the worked solution

Hint 1

To convert

ℓ

ml

, multiply by

1000

Hint 2

5.134 \times 1000

Answer: 5134

Question 5 · Rate Word Problems · hard

A pump fills a tank at

18

litres/min for the first

12

minutes, then at

10

litres/min after that. If the tank holds

326

litres, how long does it take to fill?

Show the worked solution

Hint 1

Multiply the first rate by its time to find how many litres fill in the first stage. Subtract that from the tank size to find the litres left. Then divide by the second rate to get the extra minutes needed.

Hint 2

First stage

= 18 \times 12 = 216

litres. Remaining

= 326 - 216 = 110

litres, taking

110 \div 10 = 11

minutes. Total time

= 12 + 11

Answer: 23

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

The P6 questions cover the missing angle of a quadrilateral, substituting into an algebraic expression with a fraction term, and three hard problems: water poured from one tank into another, dividing a fraction by a fraction, and shaded triangles in a figure made of two rectangles. For the tanks, ask your child what the pouring does not change. In the shaded area question, mark every known length first.

Primary 6 (P6) Daily 5 video for 1 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Angles in Geometric Figures · medium

In a quadrilateral

ABCD

\angle A = 95^\circ

\angle B = 80^\circ

\angle C = 115^\circ

. Find

\angle D

Show the worked solution

Hint 1

The sum of angles in a quadrilateral is

360^\circ

Hint 2

\angle D = 360 - 95 - 80 - 115

Answer: 70

Question 2 · Evaluating Algebraic Expressions · medium

Find the value of

5w - \frac{w}{3} + 8

when

w = 6

Show the worked solution

Hint 1

Substitute

w = 6

into the expression:

5(6) - \frac{1(6)}{3} + 8

Hint 2

Multiply:

5 \times 6 = 30

Final step

Combine:

30 - 2 + 8 = 36

→ 36

Answer: 36

Question 3 · Volume of Cuboids · hard

A rectangular Tank A measures

10\text{ cm}

10\text{ cm}

20\text{ cm}

. It is one-fifth filled with water. All the water in Tank A is poured into an empty rectangular Tank B with a base measuring

8\text{ cm}

5\text{ cm}

. Find the height of the water level in Tank B.

Show the worked solution

Hint 1

Poured water keeps the same volume in Tank A and Tank B; Tank A is one-fifth filled.

Hint 2

Use Tank A's length, width, and height times that fraction:

10 \times 10 \times 20

. Tank B's base area is

8 \times 5

Final step

Tank A's water volume is

10 \times 10 \times 20 \times \frac{1}{5} = 400

cm³. Tank B's water height is

400 \div (8 \times 5) = 10

→ 10

Answer: 10

Question 4 · Division of Fractions · hard

Find the value of

\frac{5}{6} \div \frac{1}{6}

Show the worked solution

Hint 1

Divide by a fraction by multiplying by its reciprocal.

Hint 2

1 \div \frac{1}{6} = 6

→ 6.

Final step

\frac{5}{6} \times 6 = 5

→ 5

Answer: 5

Question 5 · Area of Composite Triangles · hard

AEGD

and

EBCG

are two identical rectangles, each measuring

10

cm by

6

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 = 6

cm and

EF

is twice

FG

, so

FG = 6 \div 3 = 2

→ 2.

Hint 2

Each shaded triangle has base

FG = 2

cm and height

10

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

= \frac{1}{2} \times 2 \times 10 = 10

→ 10.

Final step

Total shaded area

= 2 \times 10

→ 20

Answer: 20

Keep learning

Keep practising

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

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

Daily 5 Math Practice: 1 Nov Worked Solutions

Try what you just learned

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

Primary 4 (P4) Math: Fractions, Decimals, Pie Charts

Pie Chart Sections

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

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

Keep learning

Keep practising