Daily 5 Math Practice: 4 Nov Worked Solutions

Before the first number goes on paper, there is a quieter step that often decides how a question goes: working out what it is really asking. Is it the distance all the way round, or the space inside? The amount used, or the amount left? Children who pause to name the goal tend to pick a sensible method more often. This post is a place to practise that pause. For each grade it gathers the five questions from the 4 Nov Daily 5 video, with every hint, step and answer folded away, so your child can name the goal, try the question, then check.

Pick your child's grade and play that video first. Then have them try all five questions on paper. Open a solution only after a real attempt, read one hint at a time, and pause to try again before reading the next. The hints, steps and answers match the video.

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

This P3 set moves from the perimeter of a rectangle and reading one bar on a bar graph to changing minutes and seconds into seconds, a four-digit subtraction story, and a harder working-backwards problem about a choir. For the perimeter question, ask your child to trace all four sides with a finger. In the choir problem, jot down each change, term by term, before doing any sums.

Primary 3 (P3) Daily 5 video for 4 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

10\text{ cm}

and a width of

8\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 =

10 + 8 + 10 + 8

Answer: 36

Question 2 · Bar Graphs · easy

The bar graph shows favourite subjects. How many students are recorded for Math?

Favourite Subjects

Show the worked solution

Hint 1

Find the bar for Math in the graph.

Hint 2

Read the value on the scale

Answer: 26

Question 3 · Measurement · medium

Express

4\text{ min } 14\text{ s}

in seconds.

Show the worked solution

Hint 1

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

Hint 2

4\text{ minutes} = 4 \times 60 = 240\text{ seconds}

Final step

Add

14\text{ seconds}

240 + 14 = 254

→ 254

Answer: 254

Question 4 · Addition and Subtraction · medium

A factory produced

6730

toy cars in a week.

2485

of them were sold. How many toy cars were left?

Show the worked solution

Hint 1

Split the known part into thousands, hundreds, tens, and ones.

Hint 2

Take the thousands part away first:

6730 - 2000 = 4730

→ 4730.

Final step

Subtract the full known part:

6730 - 2485 = 4245

→ 4245

Answer: 4245

Question 5 · Working Backwards Word Problems · hard

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

25

students left the choir and

15

students joined the choir. At the beginning of Term 3,

60

students joined the choir. There were a total of

120

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

Show the worked solution

Hint 1

Undo Term 3:

120 - 60 = 60

Hint 2

Undo Term 2's join:

60 - 15 = 45

Final step

Undo Term 2's leave:

45 + 25 = 70

→ 70

Answer: 70

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

The P4 questions cover multiplying a three-digit number by a two-digit number, a division that ends in a decimal, finding a fraction of a set, the perimeter of an L-shaped tile, and a puzzle about two friends who jog on different schedules. Two are marked hard. For the L-shaped tile, have your child count the edges on the diagram before adding anything, so that no side is missed.

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

Question 1 · Operations · medium

Find the product of

834

and

41

Show the worked solution

Hint 1

Multiply

834

by the ones digit of

41

(

1

Hint 2

Multiply

834

by the tens digit of

41

(

40

Final step

Add the two results together

→ 34194

Answer: 34194

Question 2 · Operations · medium

Divide

30

8

. Express the quotient as a decimal.

Show the worked solution

Hint 1

Add zeros after the decimal point in the dividend (

30.00

Hint 2

Divide until the remainder is zero

Answer: 3.75

Question 3 · Fraction of a Set · medium

Find the value of

\frac{9}{10}

70

Show the worked solution

Hint 1

Split the total into

10

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

Hint 2

The total is split into

10

groups. One equal group is one part

→ 1 group.

Final step

One group is

70 \div 10 = 7

. Take

9

groups:

7 \times 9 = 63

→ 63

Answer: 63

Question 4 · 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

20\text{ cm}

long and

10\text{ cm}

wide. The notch cut out measures

4\text{ cm}

4\text{ cm}

. Find the perimeter of the L-shaped tile.

Show the worked solution

Hint 1

The missing top edge

= 20 - 4 = 16\text{ cm}

Hint 2

The missing side edge

= 10 - 4 = 6\text{ cm}

Final step

Add all 6 edges:

20 + 6 + 4 + 4 + 16 + 10

→ 60

Answer: 60

Question 5 · Factors and Multiples · hard

Siti jogs every

4

days and Mei jogs every

10

days. Both went jogging today. After how many days will they next jog on the same day?

Show the worked solution

Hint 1

Compare the repeating cycles to find when both events happen together again.

Hint 2

The first two multiples of 4 are

4 \times 1 = 4

and

4 \times 2 = 8

→ 8 days.

Final step

Multiples of

4

are 4, 8, 12, 16, 20. Multiples of

10

are 10, 20. The first common time is 20 days

→ 20

Answer: 20

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

This P5 set includes a missing number in a pair of equivalent ratios, writing a fraction as a decimal, two pumps working together, a ratio story where one quantity changes, and the shaded area of two overlapping rectangles. In the ratio story, ask which quantity stays the same from start to finish. For the overlap question, a quick sketch helps your child see which part the two rectangles share.

Primary 5 (P5) Daily 5 video for 4 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Equivalent Ratios · easy

2 : 3 = \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 3 = 4

→ 4.

Final step

Reuse that multiplier for the missing term:

2 \times 4 = 8

→ 8

Answer: 8

Question 2 · Decimals · easy

Express

\frac{1}{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:

1 \div 4

Final step

The quotient gives the decimal:

1 \div 4 = 0.25

→ 0.25

Answer: 0.25

Question 3 · Rate Word Problems · medium

Pump A pumps

18

litres per hour. Pump B pumps

12

litres per hour. Working together, how long do they take to produce

210

litres?

Show the worked solution

Hint 1

Add the two rates to find how much they make together in one hour.

Hint 2

18 + 12 = 30

litres per hour. Then divide the total by this combined rate:

210 \div 30

Answer: 7

Question 4 · Ratio Word Problems · hard

The ratio of the number of stickers to cards was

4 : 5

. After

21

stickers were added, the ratio became

5 : 1

. How many cards were there?

Show the worked solution

Hint 1

The number of cards is unchanged, so name that shared quantity before scaling the ending ratio.

Hint 2

Scale both parts to match the unchanged cards count:

5 \times 5 : 1 \times 5

Final step

Reuse the starting units for cards:

5 \times 1 = 5

→ 5

Answer: 5

Question 5 · Composite Area · hard

Two identical rectangles, each

16\text{ cm}

8\text{ cm}

, overlap so that the overlapping part forms a square in the middle (this square is not shaded). The distance from the edge of the overlap square to the far end of a rectangle, measured along its

16\text{ cm}

side, is

12\text{ cm}

. Find the total shaded area.

Show the worked solution

Hint 1

The overlap square's side is the rectangle's length minus the given distance:

16 - 12 = 4\text{ cm}

Hint 2

Find the area of one rectangle:

16 \times 8 = 128\text{ cm}^2

Final step

The unshaded overlap square (area

4 \times 4 = 16\text{ cm}^2

) is counted in both rectangles, so subtract it twice:

2 \times 128 - 2 \times 16

→ 224

Answer: 224

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

The P6 questions cover a ratio problem built on a difference, the largest possible number from a given average, the area of a semicircle, a price with a discount and then GST, and a rectangle tiled with identical triangles. In the price question, take the changes in the order they happen. For the tiling question, count how many triangles run along each side of the rectangle.

Primary 6 (P6) Daily 5 video for 4 Nov. Watch it, then try the five questions below before opening any solution.

Question 1 · Difference Problems · medium

The ratio of the number of cards Eve has to the number of cards Fiona has is

9:8

. If Eve has

4

more cards than Fiona, how many cards do they have altogether?

Show the worked solution

Hint 1

Find the difference in units (

9 - 8

)

→ $1$ units.

Hint 2

This difference represents

4

cards. Find 1 unit (

4 \div 1

)

→ $4$ .

Final step

Multiply total units by the value of 1 unit (

17 \times 4

)

→ 68

Answer: 68

Question 2 · Extreme Values from an Average · medium

The average of

5

different 2-digit numbers is

29

. What is the largest possible number?

Show the worked solution

Hint 1

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

Hint 2

The other numbers are

10, 10 + 1, 10 + 1 + 1, 10 + 1 + 1 + 1

Final step

29 \times 5 - (10 + 10 + 1 + 10 + 1 + 1 + 10 + 1 + 1 + 1) = 99

→ 99

Answer: 99

Question 3 · Semicircles and Quadrants · medium

The area of a full circle is

1256\text{ cm}^2

. What is the area of a semicircle with the exact same radius?

Show the worked solution

Hint 1

A semicircle is half of a full circle.

Hint 2

Divide the area of the full circle (

1256

) by 2

Answer: 628

Question 4 · Percentage - Combined Charges · hard

A television set costs

$800

. A

25\%

discount is given, followed by

9\%

GST on the discounted price. What is the final amount to pay?

Show the worked solution

Hint 1

After the discount, the television set's price has

100 - 25 = 75

percent left.

Hint 2

The discounted price of the television set is

800 \times 75 \div 100 = 600

Final step

Its GST is

600 \times 9 \div 100 = 54

. Add the GST:

600 + 54 = 654

→ 654

Answer: 654

Question 5 · Tiling with Identical Triangles · hard

12 identical right-angled triangle tiles cover the rectangle shown. The ratio of the shorter leg to the longer leg of each triangle is 2:3. The rectangle's perimeter is 104 cm. Find the area of one triangle in cm².

Show the worked solution

Hint 1

Each right triangle pairs with another to form a rectangle. The leg ratio gives the rectangle's side ratio.

Hint 2

The perimeter determines the common leg scale. Find one triangle leg before calculating its area.

Final step

3 across, 2 down. Width

3 \times 3 = 9

, height

2 \times 2 = 4

. One part is

104 \div 2 \div (9 + 4) = 4

. Legs:

2 \times 4 = 8

;

3 \times 4 = 12

. Area:

8 \times 12 \div 2 = 48

→ 48

Answer: 48

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Art	44 students

Daily 5 Math Practice: 4 Nov Worked Solutions

Try what you just learned

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

Favourite Subjects

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

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

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

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