Grade 8 Math Challenge

If 6 kg of biscuits cost $27, calculate the cost of 13 kg of biscuits.

• $52.50

• $58.50

• $62.50

• $68.50

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

If y is directly proportional to x^2, when x = 2 and y = 20. Find the value of y when

x = 3.

• 25

• 35

• 45

• 55

Tags

CCSS.7.EE.B.4

CCSS.7.RP.A.2

5 men can paint 2 identical houses in 3 days. Assuming that all men work at the same rate, how long will take 10 men to paint 8 such houses?

• 4 days

• 5 days

• 6 days

• 7 days

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

Find the value of x and y in the given simultaneous equation

3x - y = 12

2x + y = 13

• x = 5

  y = 3

• x= 3

  y = 3

• x = 5

  y= 3

• x = 5

  y = 5

Tags

CCSS.HSA.REI.C.6

Using elimination method, solve the simultaneous equations

13x - 6y = 20

7x + 4y = 18

• x= 1

  y=2

• x = 2

  y= 1

• x = -1

  y= -2

• x = -2

  y = -1

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

The sum of two numbers is 67 and their difference is 3. Find the two numbers.

• 32 and 35

• 33 and 36

• 37 and 30

• 22 and 27

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Subtract 4x^2 + 5x - 11 from 6x^2 + 7x - 15

• -2x^2 - 2x + 4

• 2x^2 + 2x - 4

• -2x^2 + 2x - 4

• 2x^2 - 2x + 4

Tags

CCSS.HSA.APR.A.1

Simplify x (2x + 1) + 2x (x+4)

• 2x^2 + 6x

• 9x - 4x^2

• 4x^2 + 9x

• 9x + 4x^2 + 1

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Expand and Simplify

(x+5)(x-4) - (x+2)(x-7)

• 6x^2+ 6x + 20

• 6x - 6

• 6x^2 + 6x

• x^2 + 6x - x

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Factorise 2x^2 + 7x + 3

• (2x+1)(x+3)

• (x+1)(2x+3)

• (x-3)(2x-3)

• (x-1)(2x-3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3