Free Printable Year 10 Numeracy Week (Thursday)

1.

Which net does NOT make a cube

a)

A

b)

B

c)

C

d)

D

2.

Find the value of ?

(a)

3.

Which of these is the formula for the area of a circle?

a)

$A\ =\ \pi r^2$

b)

$A=2\pi r$

c)

$A=\pi d$

d)

$A=\frac{1}{2}\pi d^2$

4.

Which formula is used to find the hypotenuse of a right-angle triangle?

a)

$c=\sqrt{a^2+b^2}$

b)

$c=\sqrt{a^2-b^2}$

c)

$a=\sqrt{c^2-b^2}$

d)

$b=\sqrt{c^2-b^2}$

5.

Round 1,682 to the nearest ten.

a)

1,600

b)

1,690

c)

1,700

d)

1,680

6.

Estimate

4.3 x 11.5

a)

44

b)

48

c)

55

d)

60

7.

Simplify:

y²+ 4xy + 4 x + 5y²– 2xy – 2x

a)

3x² + 3xy + 6y

b)

6y² + 2xy + 2x

c)

7x² + 35x

d)

3x² + 6y² + y

8.

Expand and simplify

(y²+ y) (y + 3)

a)

y³ + 4y² + 3y

b)

y³ + y² + 3y

c)

8y⁶

d)

5y⁵+ 3y

9.

Factorise 9x – 18x²

a)

9(x – 2x)

b)

9x(1 – 2x)

c)

-9x

d)

9x(1 – 3x)

10.

What would you do if you saw 'estimate' in the exam?

a)

Guess

b)

Round each value to 1dp then do the calculation

c)

Round each value to 1sf then do the calculation

d)

Do the calculation and then round the answer

11.

Factorise
x² + 15x + 36

a)

(x + 6)(x + 6)

b)

(x + 9)(x +4)

c)

(x + 4)(x + 9)

d)

(x + 12)(x + 3)

12.

Work out the cube root of 64.

a)

8

b)

4

c)

6

d)

10

13.

Write the number 0.000 075 47 in standard form

a)

7547 x $10^8$

b)

7547 x $10^5$

c)

7.547 x $10^{-8}$

d)

7.547 x $10^{-5}$

14.

Simplify: 3x³ × 6x⁸

a)

18x¹¹

b)

18x²⁴

c)

9x¹¹

d)

9x²⁴

15.

Which of these lines would be the steepest?

a)

y = 2x + 9

b)

y = 7x + 3

c)

y = 5x - 3

d)

y = 7

16.

Simplify the following surd...

a)

5√2

b)

5√3

c)

2√5

d)

10√5

Year 10 Numeracy Week (Thursday)

Total questions: 16

Worksheet time: 43mins

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