Daily 5 Math Practice: 31 Oct Worked Solutions

Five questions do not look like much. Yet a short set done carefully, with the working checked afterwards, can teach more than a long page of sums rushed to the end. Children hold on to a method better when they have tried it themselves, made a mistake or two, and then seen exactly where the working went. A short set also leaves time to talk, and talking is where much of the learning happens. This post gives you that short set for each grade, taken from the matching Daily 5 video, with every hint and step written out so the checking takes minutes rather than an evening.

Scroll to your child's grade and watch the video. Then let your child try the five questions without help. Open a solution only to check, reading one hint at a time and stopping as soon as the next step is clear. The hints and steps below match the video.

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

All five P3 questions are marked easy, which makes this a good set for building confidence. It covers reading a bar graph to compare two groups, the area of a rectangle, changing litres and millilitres into millilitres, multiplying a two-digit number by a one-digit number, and a difference story. In the story, ask your child to say whether the missing number is the greater or the smaller one.

Primary 3 (P3) Daily 5 video for 31 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Bar Graphs · easy

The bar graph shows transport to school. How many fewer students are there for Car than Bus?

Transport to School

Show the worked solution

Hint 1

Find the value for Car (

24

) and the value for Bus (

40

Hint 2

Find the difference between them:

40 - 24

Answer: 16

Question 2 · Area and Perimeter · easy

A rectangle has a length of

10\text{ cm}

and a width of

7\text{ cm}

. Find its area.

Show the worked solution

Hint 1

Area of rectangle = Length

\times

Width.

Hint 2

Area =

10 \times 7

Answer: 70

Question 3 · Measurement · easy

Express

1\ell\ 495\text{ ml}

in millilitres.

Show the worked solution

Hint 1

1\ell = 1000\text{ ml}

Hint 2

Convert the whole litres first:

1 \times 1000 = 1000

→ 1000 ml.

Final step

Add

495\text{ ml}

1000 + 495 = 1495

→ 1495

Answer: 1495

Question 4 · Multiplication and Division · easy

17 \times 3 =

Show the worked solution

Hint 1

Multiply the ones digit:

7 \times 3 = 21

Hint 2

Multiply the tens digit:

10 \times 3 = 30

Final step

Add the two parts:

30 + 21 = 51

→ 51

Answer: 51

Question 5 · Difference Word Problem · easy

The difference between two numbers is

1847

. The greater number is

5263

. 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:

1847 - 1000 = 847

. Take away its thousands:

5263 - 1000 = 4263

→ $4263$ .

Final step

Finish the subtraction:

4263 - 847 = 3416

→ 3416

Answer: 3416

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

This P4 set practises rounding to the nearest hundred, a fraction of a set, a pie-chart problem about a fraction of the students, adding two decimals, and a harder two-step money problem. For the decimal sum, estimate first so your child can tell whether the answer is sensible. In the money problem, finish the first step and write its result down before starting the second.

Primary 4 (P4) Daily 5 video for 31 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Rounding and Estimation · easy

Round

53,451

to the nearest hundred.

Show the worked solution

Hint 1

Look at the digit in the tens place

→ 5.

Hint 2

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

Answer: 53500

Question 2 · Fraction of a Set · medium

Mrs. Lee had

40

apples. She gave

\frac{1}{4}

of them to her neighbor. How many apples did she have left?

Show the worked solution

Hint 1

Find the part given away by splitting this question's total into

4

equal groups and taking

1

of them.

Hint 2

After taking

1

of the

4

equal groups, find the value of the groups left using this question's total.

Final step

Given away:

40 \div 4 \times 1 = 10

. Left:

40 - 10 = 30

→ 30

Answer: 30

Question 3 · Understanding Pie Charts · medium

A pie chart shows the modes of transport to school.

\frac{1}{4}

of the students walk. If there are

120

students in total, how many students walk?

Modes of Transport

Show the worked solution

Hint 1

One-quarter (

\frac{1}{4}

) of a quantity means dividing it by 4.

Hint 2

Divide

120

by 4

Answer: 30

Question 4 · Operations · medium

Add

4.68

and

2.78

Show the worked solution

Hint 1

Align the decimal points vertically.

Hint 2

Add as you would with whole numbers, keeping the decimal point in the same position

Answer: 7.46

Question 5 · Word Problems · hard

Ravi had

$46.08

. He spent

$29.56

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

2

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

$46.08 - $29.56

Final step

Divide the remaining amount by 2:

$46.08 - $29.56 = $16.52

;

$16.52 \div 2 = $8.26

→ 8.26

Answer: 8.26

Primary 5 (P5) Math: Percentage, Rate, Fractions

The P5 questions cover finding a whole when a percentage of it is known, a rate of flow over a few minutes, writing a mixed number as a decimal, sharing in a given ratio, and a hard tiered-rate problem read from a chart. In the flow question, check that the time and the rate use the same unit. For the tiered rate, read both prices on the chart first.

Primary 5 (P5) Daily 5 video for 31 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Percentage of a Quantity · easy

30\%

of a number is

84

. What is the number?

Show the worked solution

Hint 1

For the unknown whole, use the given

30\%

part to find 10% first.

Hint 2

30 \div 10 = 3

;

84 \div 3 = 28

→ 28.

Final step

Divide the given part equally among 3 ten-percent groups: one group is 28. The whole has ten groups:

28 \times 10 = 280

→ 280

Answer: 280

Question 2 · Rate of Flow (per second/minute) · easy

Water leaks from a tap at a rate of

4

ml per second. How much water leaks in

3

minutes?

Show the worked solution

Hint 1

Convert the duration to seconds:

3 \times 60 = 180

seconds.

Hint 2

Multiply the flow rate by the duration in seconds (

4 \times 180

)

Answer: 720

Question 3 · Decimals · easy

Express

1\frac{1}{8}

as a decimal.

Show the worked solution

Hint 1

Separate the whole number from its fractional part.

Hint 2

Convert only the fractional part:

1 \div 8 = 0.125

→ 0.125.

Final step

Add the parts:

1 + 0.125 = 1.125

→ 1.125

Answer: 1.125

Question 4 · Dividing in a Given Ratio · medium

35

marbles are shared between Sam and Kate in the ratio

4 : 3

. How many marbles does Sam get?

Show the worked solution

Hint 1

Add the ratio numbers to find total parts:

4 + 3 = 7

→ 7 parts.

Hint 2

One part is

35 \div 7 = 5

→ 5.

Final step

Reuse the one-part value: Sam gets

4 \times 5 = 20

marbles

→ 20

Answer: 20

Question 5 · Tiered Rates · hard

Mr Lim received

$1281.50

for scrap metal. The rate schedule shown gives the price paid per kilogram for the first

60\text{ kg}

and for each additional kilogram. What total mass did Mr Lim sell?

Scrap Metal Rate Schedule

Show the worked solution

Hint 1

For Mr Lim, first-tier payment is

60 \times 5.00 = 300.00

Hint 2

For Mr Lim, find the remaining payment by subtracting the first-tier payment from the total received.

Final step

Mr Lim: first tier

60 \times 5.00 = 300.00

; remainder

1281.50 - 300.00 = 981.50

; extra mass

981.50 \div 6.50 = 151

; total

60 + 151 = 211

→ 211

Answer: 211

Primary 6 (P6) Math: Decimals, Circles, Average

This P6 set mixes rounding a quotient to two decimal places, the circumference of a circle, the smallest possible number when an average is given, the height of water in a tank, and a before-and-after ratio problem. In the average question, think about what the other numbers must be for one to be as small as possible. In the ratio problem, decide first which group's size is fixed.

Primary 6 (P6) Daily 5 video for 31 Oct. Watch it, then try the five questions below before opening any solution.

Question 1 · Fraction-Decimal Conversion and Rounding · easy

Find the value of

6 \div 7

. Round your answer to 2 decimal places.

Show the worked solution

Hint 1

To round to 2 decimal places, divide 6 by 7 as far as the third decimal place.

Hint 2

Look at the third decimal digit: five or more means round up, and less than five means keep the second decimal digit.

Final step

Divide:

6 \div 7 \approx 0.857

. Its third decimal digit is five or more, so round up

→ 0.86

Answer: 0.86

Question 2 · Circumference of a Circle · medium

A circle has a radius of

14\text{ cm}

. Taking

\pi = 22/7

, find its circumference.

Show the worked solution

Hint 1

Use the formula: Circumference

= 2 \times \pi \times r

→ $2 \times 22/7 \times 14$ .

Hint 2

Calculate the value

Answer: 88

Question 3 · Extreme Values from an Average · medium

The average of

3

different 2-digit numbers is

85

. What is the smallest possible number?

Show the worked solution

Hint 1

To make the smallest possible, make the other 2-digit numbers largest and different.

Hint 2

The other numbers are

100 - 1, 100 - 1 - 1

Final step

85 \times 3 - (100 - 1 + 100 - 1 - 1) = 58

→ 58

Answer: 58

Question 4 · Volume of Cuboids · hard

A rectangular tank has a base measuring

15\text{ cm}

4\text{ cm}

300\text{ cm}^3

of water is poured into the tank. Find the height of the water level.

Show the worked solution

Hint 1

Volume of water

=

base length

\times

base width

\times

water height.

Hint 2

Water height

= 300 \div (15 \times 4) = 300 \div 60

Answer: 5

Question 5 · Before & After Problems · hard

The ratio of boys to girls in a hall was

4:5

. After

22

boys left the hall, the ratio became

2:5

. How many girls were there?

Show the worked solution

Hint 1

Girls do not change, so keep their units fixed. The boys' change in units equals the number who left.

Hint 2

Boys' units drop from

4

2

4 - 2 = 2

units. This change equals 22 boys, so

22 \div 2 = 11

per unit.

Final step

Girls stay at

5

units:

5 \times 11 = 55

→ 55

Answer: 55

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Category	Value
Bus	40 students
Car	24 students
Train	16 students
Walk	6 students

Category	Value
Walk	Value not shown
Others	Value not shown

Category	Value
First 60 kg	5 dollars per kg
Each additional kg	6.5 dollars per kg

Daily 5 Math Practice: 31 Oct Worked Solutions

Try what you just learned

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

Transport to School

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

Modes of Transport

Primary 5 (P5) Math: Percentage, Rate, Fractions

Scrap Metal Rate Schedule

Primary 6 (P6) Math: Decimals, Circles, Average

Keep learning

Keep practising