Free Printable Year 10 Review

1.

What are the coordinates of the vertex of the parabola $y=2x^2-4x-1$ ?

a)

$\left(0,-1\right)$

b)

$\left(1,-3\right)$

c)

$\left(2,-1\right)$

d)

$\left(2,-15\right)$

2.

$\frac{3a^6b^{ }}{\left(3ab\right)^2}\ \ simplifies\ to...$

a)

$\frac{a^4b}{9}$

b)

$\frac{a^4}{3b}$

c)

$\frac{3a^4}{b}$

d)

$3a^4b^{ }$

3.

The expression $5\sqrt{3}\div3\sqrt{5}$ can be simplified as ...

a)

$\sqrt{5}\div13$

b)

$\sqrt{15}\div3$

c)

$\sqrt{15}\div5$

d)

$\sqrt{5}\div3$

4.

If a building is 65m above ground level and angle of depression of loader truck on level ground is 51° then distance of loader truck from building is

a)

50.23 m

b)

48.23 m

c)

52.63 m

d)

55.63m

5.

$\frac{5\left(9-x\right)}{3}+1<11$ , solve the inequation of x

a)

$x<3$

b)

$x>3$

c)

$x>-3$

d)

none of the above

6.

In a frequency distribution, the last cumulative frequency is 500. Q2 (Median) must lie in

a)

275th item

b)

375th item

c)

175th item

d)

250th item

7.

Find the lengths of side H of the right triangle below if its area is 400

a)

$20\sqrt{3}$

b)

$10\sqrt{3}$

c)

$10\sqrt{5}$

d)

$20\sqrt{5}$

8.

What is the remainder R when the polynomial p(x) is divided by (x-5)?

p(x) = x³- 5x²+ 2x - 10

a)

$0$

b)

$2x-10$

c)

$-2x-10$

d)

$2x+10$

9.

When the angle of elevation of the sun is 78 degrees, an statue casts a shadow that is 6m long. How far is the top of the statue to the end of its shadow?

a)

1.2

b)

6.1

c)

28.9

d)

28.2

10.

What is the bearing

of A from B?

a)

45

b)

045

c)

130

d)

135

Year 10 Review

Total questions: 10

Worksheet time: 10mins

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