SEA Mathematics 2020 Past Paper

Complete the place value chart to represent the numeral forty-five thousand, three hundred and six.

Write a whole number in the box to make the statement true.

$$ 3100 + \text{ ____ } < 3124 $$

What number is represented by $(3 \times 100) + (7 \times 1) + \left(5 \times \frac{1}{10}\right)$?

Answer _____________________________

The total value of the 5 bills shown below is $81.00$. Write the missing value on the bill.

Paul picked 1 725 mangoes. Estimate the number of mangoes he picked to the nearest thousand.

Answer _____________________________ mangoes

Jamaal baked the cookies shown on the tray below. He ate $\frac{2}{15}$ of the cookies.

How many cookies did he eat?

Answer _____________________________ cookies

Ariana spent $\frac{2}{3}$ of her allowance and had $10.00 remaining.

How much was her allowance?

Answer $ _____________________________

$6 - \frac{4}{7} =$

Answer _____________________________

Write the correct value in the box to complete the number sentence.

$16 \times 11 = \{ 4 \times 11 \} + \{ \boxed{} \times 11 \}$

Arrange the values below in ascending order.

50%, $\frac{3}{4}$, 0.15

Answer _____________________________

Write the time shown on the clock.

Answer _____________________________

An incomplete calendar is given below.

What day of the week is the 30th of November? Answer _____________________________

Priya drank 5 boxes of the orange juice shown below.

How many litres of orange juice did she drink?

Answer _____________________________ litres

The shape below is drawn on a 1 cm grid.

Calculate the perimeter of the shape.

Answer _____________________________ cm

In rectangle ABCD shown below, which side is parallel to AD?

Answer _____________________________

Draw the line of symmetry on the shape below.

Peter was standing facing south. He turned in a clockwise direction and is now facing east.

How many quarter turns did Peter make? Answer _____________________________ quarter turns

The shoe sizes of 15 students are shown below.

Which shoe size represents the mode?

Answer _____________________________

Sue-Ann scored the runs shown below during a cricket tournament.

24, 122, 0, 78

What was her mean score?

Answer _____________________________ runs

The incomplete tally chart below shows the 4 houses to which students belong.

Complete the tally chart to show the number of students in Lily house.

Express $\frac{12}{22} \times \frac{11}{15}$ in its lowest terms.

Answer _____________________________

Write the correct value in the box to complete the number sentence.

Angie, Keisha and Chen shared 125 stickers among themselves. Keisha and Chen received an equal number of stickers and Angie received one less sticker. How many stickers did Keisha receive?

Answer _____________________________ stickers

What is the sum of the five smallest prime numbers?

Answer _____________________________

On the grid shown below, 5 squares are shaded.

How many more squares must be shaded for 60% of the grid to be shaded? Answer _____________________________ squares

Greg spent $\frac{1}{3}$ of his allowance and loaned $\frac{1}{2}$ of the remaining money to his friend. He now has $20.00 remaining. How much money did Greg have at first?

Answer $ _____________________________

Insert the possible values of the missing digits to complete the operation.

Andra needs to pay 2 sums of money, $$75.00 and $$54.00. She can use any number of each bill shown below to pay the exact amounts.

Which of the 2 sums of money can be paid using the fewer number of bills? Explain your answer.

Answer _____________________________

Each week, Imran read 3 books and Shiva read 2 more books than Imran. They read 96 books altogether during the same number of weeks.

For how many weeks did they read?

Answer _____________________________ weeks

Twenty per cent of Kyra's savings is equal to 10% of Selena's savings. What fraction of their total savings belongs to Kyra? Answer _____________________________

Debra fell asleep at 9:30 p.m. She slept for 4 hours and 45 minutes. What time did she awake?

Answer _____________________________ a.m.

The compound shape below is made up of a square and a rectangle. The length of the rectangle is 3 times its width.

Calculate the area of the compound shape.

Answer _____________________________ cm²

Tom's 2 suitcases had masses of 13.05 kg and 29 kg 600 g. The total mass allowed was 41.5 kg.

By how many kilograms were Tom's suitcases over the mass allowed?

Answer _____________________________ kg

Allan had a wooden block in the shape of a cuboid. The block measured 20 cm in length, 15 cm in width and 6 cm in height. He cut out a small cuboid of length 20 cm, width 3 cm and height 4 cm.

What was the volume of the remaining block?

Answer _____________________________ cm³

The triangles shown on the grid below for...

Describe the pattern rule.

Answer _____________________________

A rhombus is folded along a line of symmetry to form two identical plane shapes. State two properties of the plane shape formed. Answer _____________________________

Complete the shape shown on the grid below using AB as the line of symmetry.

How many lines of symmetry are there in the new shape?

Answer _____________________________ lines of symmetry

The mean of 6 numbers was 7. Another number was added and the new mean was 9.

What number was added?

Answer _____________________________

The table below shows Vishal's scores in 4 of the 5 subjects for which he wrote tests.

The mean score in the 5 subjects was 68. What was Vishal's score in Social Studies?

Answer _____________________________

The bar chart below shows the number of days students were absent during a term.

Calculate the difference between the mean number of days absent and the modal number of days absent.

Answer _____________________________ days

Identical counters are used to form patterns in a sequence. The first four patterns are shown below.

(a) Determine the number of counters that will form the fifth pattern in the sequence. Answer _____________________________ counters (b) Draw the fifth pattern in the sequence. (c) Malika said that the number of counters in each pattern is composite. Explain why she is incorrect. Answer _____________________________

There were 450 spectators at a cricket match. Of these $\frac{1}{5}$ were adults (men and women) and the others were children (boys and girls).

There were twice as many boys as girls.

The number of men was equal to half the number of girls.

How many women were at the cricket match?

Answer _____________________________ women

A box contains small solid cubes of side 2 cm stacked along 3 edges, as shown below.

What volume of the box remains to be filled with cubes?

Answer _____________________________ cm³

The solid building block shown below has a uniform cross-section with 2 identical cut-outs. The cut-outs are cuboids, perpendicular to the base of the building block.

(a) Complete the table below.

| Building Block | |---|---| | Number of Edges | Number of Vertices | | ____ | ____ |

(b) Draw the cross-section of the building block parallel to its base.

Three groups are made using numbers 1 to 9. Group 1 has the same mode as Group 3. Group 2 has the same mean as Group 3. The modal value occurs at least 3 times in Group 3.

Write the missing numbers in the circles in Group 3 to show one possible solution.