Mathematics-Year 6

Order of operation

100

Solve: 100- 25 x 2

50

200

Solve:7 + 4 x 4 - 3

20

300

Solve: 7 ( 2 + 5 )

49

400

Add bracket to make the calculation correct:

 6+7 x 2 = 26

(6+7)x2 = 26

500

Solve: (17+5)+(2x11)

44

Area & Perimeter

100

Find the area of triangle if the height is 5cm and base is 3 cm.

7.5 square units.

200

Find the area of parallelogram if the base is 6cm and height is 4 cm.

24 cm²

300

The volume of the cube is 27 m³ , find its length, width and height.

l=w=h= 3³ =3x3x3

400

Ben has a coop with an area of 16 cm² . Suggest a most economical dimension for him.

Length = Width = 4 cm, will be the most economical dimension with less perimeter.

500

Is it true? that area of a shape becomes smaller then the perimeter becomes smaller, If the area becomes larger then the perimeter becomes larger.

No, it's not always true that if the area of a shape increases, the perimeter will also increase. Similarly, it's not always true that if the area decreases, the perimeter will decrease. 

Example:

• Rectangle A: Length = 4 units, Width = 2 units

  • Area = 8 square units
  • Perimeter = 12 units

• Rectangle B: Length = 8 units, Width = 1 unit

  • Area = 8 square units
  • Perimeter = 18 units

Both rectangles have the same area, but Rectangle B has a larger perimeter.

Number & Place Value

100

What is the given number in figures.

Nine hundred ninety-nine thousand nine hundred ninety-nine

999 999

200

What is the value of the digit 4 in the below number?

2 456 003

400 000

300

What is -6 + 5 ?

-1

400

Round the below number to nearest 10000 and 100000.

1 255 567

Nearest 10 000 - 1 260 000

Nearest 1 000 000 - 1 300 000

500

A house cost AED 283 380 and Bungalow cost 

AED 345 450. How much more does bungalow cost than a house?

The bungalow costs AED 62,070 more than the house.

Four Operations

100

What is 7^{2 ?}

49

200

What is 6^{3 ?}

216

300

Same says: "Since 5 is not a prime number 25 is also not a prime number" Is he right?

No , 25 is not a prime which has more than 2 factors.

400

93812 is divisible by 4 . How do you know without calculating?

Last 2 digit of a number is a multiple of 4 so the number is divisible by 4.

500

What is the highest common factor of 18 and 30?

The highest common factor (HCF) of 18 and 30 is 6.

Mental Math

100

Add mentally 299 + 299.

598

200

SCalculate 78 - 32 mentally.

using any strategy 78 - 32 = 50 

300

Multiply:39 and 40.

1. Round 39 to 40.
2. Multiply: 40 * 40 = 1600.

So, the estimated product of 39 and 40 using rounding is 1600.

1600 - 40 = 1560.

400

What is 100 less than 1 000 000 ?

999 900

500

Divide 120 by 6 mentally using any strategy and explain.

• Break it down: 120 can be broken down into 60 + 60.

• Divide each part:
  • 60 ÷ 6 = 10
  • 60 ÷ 6 = 10

• Add the results: 10 + 10 = 20