Daily 5 Math Practice: 5 Nov Worked Solutions

One of the simplest checks on understanding needs no worksheet at all: ask your child to explain a step out loud. If they can say why they added at that point, or why they divided, the method is becoming their own. If they hesitate, that is useful too, because it shows exactly where to look again. This post gives you material for that conversation. For each grade it lists the five questions from the 5 Nov Daily 5 video and keeps every hint, step and answer folded away. Your child tries first, then talks you through the working before you open the solution together.

Start by finding your child's grade and watching that video together. Next, let them work through all five questions on paper. When they open a solution, they read the first hint, try once more, and only then read the remaining steps. Everything here matches what the video shows.

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

This P3 set covers multiplying a two-digit number by a one-digit number, comparing two bars on a bar graph, adding distances along a route, the perimeter of a square, and a harder mass problem in kilograms and grams. In the route question, ask your child to point to the place being asked about on the diagram. For the rice question, check which unit each amount is given in.

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

Question 1 · Multiplication and Division · easy

34 \times 3 =

Show the worked solution

Hint 1

Multiply the ones digit:

4 \times 3 = 12

Hint 2

Multiply the tens digit:

30 \times 3 = 90

Final step

Add the two parts:

90 + 12 = 102

→ 102

Answer: 102

Question 2 · Bar Graphs · easy

The bar graph shows favourite subjects. How many fewer students are there for English than Science?

Favourite Subjects

Show the worked solution

Hint 1

Find the value for English (

12

) and the value for Science (

20

Hint 2

Find the difference between them:

20 - 12

Answer: 8

Question 3 · Length — adding distances · medium

Jun Wei travels from his house by bus to buy dinner at the coffeeshop. How far is the coffeeshop from his house? (House to bus stop:

180

m; bus stop to coffee shop:

2640

m; coffee shop to library:

520

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:

100 + 600 = 700

→ 700 m.

Final step

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

180 + 2640 = 2820

→ 2820

Answer: 2820

Question 4 · Area and Perimeter · medium

A square has a side of

6\text{ cm}

. Find its perimeter.

Show the worked solution

Hint 1

Pair two sides of the square first.

Hint 2

The pair is

6 + 6 = 12

→ 12 cm.

Final step

Add all the side lengths:

6 + 6 + 6 + 6 = 24

→ 24

Answer: 24

Question 5 · Measurement · hard

A bag of rice weighs

6\text{ kg } 672\text{ g}

. Mrs. Lee uses

1655\text{ g}

on Monday and

1148\text{ g}

on Tuesday. What is the mass of the rice left in grams?

Show the worked solution

Hint 1

Convert the whole thousands and leftover units:

6 \times 1000 + 672

Hint 2

Subtract the first amount from that total:

6 \times 1000 + 672 - 1655

Final step

Then subtract the second amount:

6 \times 1000 + 672 - 1655 - 1148 = 3869

→ 3869

Answer: 3869

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

The P4 questions include dividing a decimal by a whole number, a wire bent from a square into a rectangle, a reading problem with two fractions of the same book, water leaking from a tank, and a puzzle about counting ducks and cows from their heads and legs. Four are marked hard. In the book question, ask your child what one equal part of the book could be.

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

Question 1 · Operations · medium

Divide

6.50

5

Show the worked solution

Hint 1

Perform long division as with whole numbers.

Hint 2

Place the decimal point in the quotient directly above the decimal point in the dividend

Answer: 1.3

Question 2 · Area and Perimeter · hard

A wire is bent to form a square of side

8\text{ cm}

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

12\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 8 = 32\text{ cm}

. Half is

32 \div 2 = 16\text{ cm}

, so the width is

16 - 12 = 4\text{ cm}

→ 4

Answer: 4

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

21

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

21

pages. One part is

21 \div (3 + 4)

pages.

Final step

One part is

21 \div (3 + 4) = 3

pages. The whole book has

12

parts:

12 \times 3 = 36

→ 36

Answer: 36

Question 4 · Word Problems · hard

A tank contains

13.6\ell

of water. Every hour,

1.6\ell

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

5

hours?

Show the worked solution

Hint 1

Find the total water leaked:

1.6 \times 5 = 8\ell

Hint 2

Subtract this from the starting amount:

13.6 - 8

Answer: 5.6

Question 5 · Heuristics · hard

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

11

heads and

38

legs in total. How many ducks are there?

Show the worked solution

Hint 1

Assume all are cows:

11 \times 4 = 44

legs.

Hint 2

Find the difference between assumed legs and actual legs (

44 - 38

)

→ 6.

Final step

Divide by the difference in legs per animal (

4 - 2 = 2

)

→ 3

Answer: 3

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

This P5 set covers multiplying by a thousand, finding a fraction of a box of pencils, a pie chart question on percentages, a remainder problem in two stages, and a harder pump problem where the rate changes partway. In the remainder question, be clear about which amount each fraction is taken from. For the pump question, ask your child how the two stages of filling differ.

Primary 5 (P5) Daily 5 video for 5 Nov. 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

934 \times 1000

Show the worked solution

Hint 1

When multiplying by

10

100

, or

1000

, add the same number of zeros to the end of the number.

Hint 2

934

has

3

zero(s) added

Answer: 934000

Question 2 · Fraction of a Set · easy

A box has

24

pencils.

\frac{5}{6}

of them are sharpened. How many sharpened pencils are there?

Show the worked solution

Hint 1

Split the whole into

6

equal parts; the fraction uses

5

parts.

Hint 2

One part is

24 \div 6 = 4

→ 4.

Final step

Find

5

parts:

4 \times 5 = 20

→ 20

Answer: 20

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

300

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:

300 \div 10 = 30

→ 30.

Final step

One tenth is

300 \div 10 = 30

; four tenths are

30 \times 4 = 120

→ 120

Answer: 120

Question 4 · Remainder Concept · medium

A farmer had

324

apples. He sold

\frac{2}{3}

of them in the morning and

\frac{3}{4}

of the remainder in the afternoon. How many apples did he sell in the afternoon?

Show the worked solution

Hint 1

Find the amount sold in the morning:

\frac{2}{3} \times 324

→ 216.

Hint 2

Find the remainder:

324 - 216

→ 108.

Final step

Find the amount sold in the afternoon:

\frac{3}{4}

of the remainder

→ 81

Answer: 81

Question 5 · Rate Word Problems · hard

A pump fills a tank at

20

litres/min for the first

10

minutes, then at

12

litres/min after that. If the tank holds

380

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

= 20 \times 10 = 200

litres. Remaining

= 380 - 200 = 180

litres, taking

180 \div 12 = 15

minutes. Total time

= 10 + 15

Answer: 25

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

The P6 questions cover reading an increase from a line graph, evaluating an algebraic expression, a percentage decrease in price, a ratio problem about marbles, and a harder ribbon problem drawn as offset bars. For the line graph, read each point against the scale rather than by eye. In the ribbon question, study the diagram and ask what the two labelled gaps tell you.

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

Question 1 · Line Graphs · easy

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

Number of Laptops Sold Each Month

Show the worked solution

Hint 1

Read the value for January off the graph

→ $120$ .

Hint 2

Read the value for February off the graph

→ $200$ .

Final step

Subtract to find the increase:

200 - 120

→ 80

Answer: 80

Question 2 · Algebraic Expressions · easy

Evaluate the expression

5a + 2

when

a = 4

Show the worked solution

Hint 1

Substitute

a = 4

into the expression:

5(4) + 2

Hint 2

Multiply first:

5 \times 4 = 20

Final step

Add

2

→ 22

Answer: 22

Question 3 · Percentage Increase and Decrease · medium

A jacket costs

$150

. Its price decreases by

20\%

. What is the new price?

Show the worked solution

Hint 1

Find the change:

20\%

150 = \frac{20}{100} \times 150 = 30

Hint 2

Subtract from original:

150 - 30

Answer: 120

Question 4 · Word Problems · medium

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

4:8

. If there are

36

blue marbles, how many red marbles are there?

Show the worked solution

Hint 1

4

units represents

36

blue marbles. Find 1 unit (

36 \div 4

)

→ $9$ .

Hint 2

Multiply the unit value by red marbles's units (

8 \times 9

)

Answer: 72

Question 5 · Ratio with Offset Bar Models · hard

The figure shows two ribbons drawn between the same two dashed lines. The ratio of the length of ribbon A to the length of ribbon B is

7 : 4

. Find the length of ribbon B in metres.

Show the worked solution

Hint 1

Both ribbons span the same two dashed lines. Their labels show

3.0

m and

1.2

m; subtract these gaps.

Hint 2

The ratio counts differ by

7 - 4 = 3

units. Divide the length difference by this count to find one unit.

Final step

Labels differ by

3.0 - 1.2 = 1.8

m. One unit is

1.8 \div 3 = 0.6

m. Ribbon B has 4 units:

4 \times 0.6 = 2.4

→ 2.4

Answer: 2.4

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Category	Value
Math	46 students
Science	20 students
English	12 students
Art	8 students

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

Category	Value
Jan	120 laptops
Feb	200 laptops
Mar	170 laptops
Apr	260 laptops
May	310 laptops

Daily 5 Math Practice: 5 Nov Worked Solutions

Try what you just learned

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

Favourite Subjects

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

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

Fruit Distribution

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

Number of Laptops Sold Each Month

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Keep practising