Y10 Maths MOCKS

How do you find HCF?

Prime factorise and multiply common factors

How do you find LCM?

Prime factorise and multiply all factors

Find HFC of 36 and 48

12

Find LCM of 12 and 18

36

Prime factorise 180

2^2 × 3^2 × 5

What is 3/4 + 2/5 ?

23/20

What is 7/8 - 1/6 ?

17/24

What is 2/3 × 9/10 ?

3/5

What is 5/6 ÷ 2/9 ?

15/4

Find 3/8 of 240

90

Convert 0.375 to a fraction

3/8

Convert 0.35 to a percentage

35%

Convert 0.33… to a fraction

1/3

Convert 0.7272… to a fraction

8/11

Expand 4(x + 7)

4x + 28

Expand (x + 5)(x + 2)

x^2 + 7x + 10

Expand (x + 1)(x + 2)(x + 3)

x^3 + 6x^2 + 11x + 6

Factorise 6x + 18

6(x + 3)

Factorise x^2 + 9x + 20

(x + 4)(x + 5)

Factorise 6x^2 + 11x + 3

(2x + 3)(3x + 1)

Factorise 12x^2 + 17x + 6

(3x + 2)(4x + 3)

Complete the square x^2 + 8x + 7 and state the T.P.

(x + 4)^2 - 9 → T.P. = (-4, -9)

Solve 3x^2 - 2 with x = 4

46

How do you complete the square? (ax^2 - bx + c)

Multiply ac → Find factors of ac → Split middle term using factors that equal to b → Factorise both halves → Answer is the bracket and the coefficients of bracket

Complete the square 3x^2 + 12x - 8 and state the T.P.

3(x + 2)^2 - 20 → T.P. = (-2, 20)

Rearrange v = u + at for a

a = (v - u) / t

Simplify 3x^2 y^4 / 21xy^5

x / 7y

Express (2x - 1) / (x + 1) - 3 / (x - 2) as one fraction

2x^2 - 8x - 1 / (x - 2)(x + 1)

Round 4837 to 2 sf

4800

Round 4.786 to 2 dp

4.79

What is the lower bound of 4.5 to the nearest 0.1m?

4.45

What is the upper bound of 4.5 to the nearest 0.1m?

4.55

Estimate 49 × 9.2 / 2.1

200

a^3 x a^4 =

a^7

a^5 ÷ a^2 =

a^3

(a^2)^4 =

a^8

5^1 =

5

10^0 =

1

2^-3 =

1 / 2^3

16^(1/2) =

4

27^(1/3) =

3

32^(2/5) =

4

What formula do you use for the area of a triangle?

1/2 x b x h

What formula do you use for the area of a trapezium?

1/2 x (a+b) x h

What formula do you use for the area of a circle?

(Pi) x r^2

What formula do you use for the circumference of a circle?

2 x (Pi) x r

What formula do you use for the arc length?

2 x (Pi) x r x (Angle / 360)

What formula do you use for the sector area?

(Pi) x r^2 x (Angle / 360)

What formula do you use for the volume of a cylinder?

(Pi) x r^2 x h

What formula do you use for the volume of a cone?

1/3 x (Pi) x r^2 x h

What formula do you use for the volume of a sphere?

4/3 x (Pi) x r^3

What formula do you use for the surface area of a sphere?

4 x (Pi) x r^2

Work out the area of a circle with the radius being 5

25 x (Pi)

Work out the area of a circle with the diameter being 8

8 x (Pi)

Work out the volume of a cylinder with the radius being 3 and the height being 10

90 x (Pi)

Work out the volume of a cone with the radius being 4 and the height being 9

48 x (Pi)

Work out the arc length when the radius is 6 and the angle is 90

3 x (Pi)

Work out the sector area when the radius is 6 and the angle is 90

9 x (Pi)

What is the mathematical definition and goal of a perpendicular bisector?

To cut a line segment exactly in half at a 90 degree agree