S4 Assess

1. Question

$ -8(-2)-1 = $

$ {-11} $
$ 18 $
$ 15 $
$ {-17} $

2. Question

A pie chart showing the expenditure of Paul and Molly in Jan 2015. Which statement below must be correct?

Paul spends more money on books than Molly.
Molly spends more money on books than Paul.
The proportion of Paul's expenditure on books is larger than that of Molly.
The proportion of Molly's expenditure on books is larger than that of Paul.

3. Question

Which of the following is correct?

$ \sqrt{79} > 9 $
$ \sqrt{80}>9 $
$ \sqrt{81}>9 $
$ \sqrt{82}>9 $

4. Question

Sean is $x$ years old. Alice is 3 times as old as Sean. 5 years later, Alice will be of age

$ 3 x – 5 $.
$ 3x + 5$.
$ 3x + 10 $.
$ 3(x + 5) $.

5. Question

Identify whether each of the following is factorization or expansion. \[\begin{array}{rcl} \text{(i)} && (x+1)(x+3) \\[-0.5em] &=&x^2+4x+3 \\[0.4em] \text{(ii)}& & x^2 + 5x + 6 \\[-0.5em] &=&(x+2)(x+3) \end{array}\]

(i) Factorization (ii) Factorization
(i) Factorization (ii) Expansion
(i) Expansion (ii) Factorization
(i) Expansion (ii) Expansion

6. Question

Solve graphically \[\left\{\begin{array}{rcl}x-1&=&2y\\3x+y&=&10\end{array}\right.\]

$\ (1,3) $
$\ (3,1) $
$\ (1,0) $
$\ (3,2) $

7. Question

Find the length of AB in the diagram below:

$ \sqrt{51}$
$ \sqrt{85}$
$ \sqrt{87}$
$ \sqrt{97}$

8. Question

The weight of Mike is measured to be 30 kg correct to the nearest kg. Which of the following could be Mike’s actual weight?

$ \text{29.2 kg} $
$ \text{29.3 kg} $
$ \text{30.1 kg} $
$ \text{30.5 kg} $

9. Question

A straight line L of slope 3/2. Find the straight line parallel to line L.

Line	$ L_1 $	$ L_2 $	$L_3 $	$ L_4 $
Slope	$ -\frac{3}{2} $	$ -\frac{2}{3} $	$ \frac{3}{2} $	$ \frac{2}{3} $

$ L_1$
$ L_2$
$ L_3$
$ L_4$

10. Question

In the diagram below, which of the following is an obtuse angle?

$ \rm \angle ABD$
$ \rm \angle DBE$
$ \rm \angle CBE$
$ \rm \angle CBD$

11. Question

Provided that $ \enspace x \geq y \, , \ $ which of the following is true?

$ x+3\leq y+3$
$ x-3\leq y-3$
$ {-3x} \leq {-3y} $
$ \dfrac{x}{3} \leq \dfrac{y}{3} $

12. Question

In the diagram, AB $\parallel$ CD. Find the corresponding angles.

a and c
a and d
b and c
b and d

13. Question

The cumulative frequency polygon below shows the lecture hours provided by 500 university professors. Extra annual leave will be given to those professors who have lectured 600 or more hours. How many professors will have extra annual leave?

$ 50$
$ 75$
$ 100$
$ 300$

14. Question

A sphere has diameter 12 cm. Find its surface area correct to 1 decimal place.

$ \mathrm{ 452.2\, {cm}^2 } $
$ \mathrm{ 628.3\, {cm}^2 }$
$ \mathrm{ 1507.9\, {cm}^2 }$
$ \mathrm{ 5026.6\, {cm}^2 }$

15. Question

After enlargement of the map below, any change in the (i) size and (ii) shape?

(i) changed$\quad$(ii) changed
(i) changed$\quad$(ii) unchanged
(i) unchanged$\,$(ii) changed
(i) unchanged$\,$(ii) unchanged

16. Question

Find out the pair of congruent triangles.

17. Question

In triangle ∆ABC below, D is the mid-point of BC. What is AD?

a median
an altitude
an angle bisector
a perpendicular bisector

18. Question

A cylinder of base radius 10 cm and height 12 cm. Find its surface area.

$ \mathrm{ 220\pi \, {cm}^2 }$
$ \mathrm{ 240\pi \, {cm}^2 }$
$ \mathrm{ 320\pi \, {cm}^2 }$
$ \mathrm{ 440\pi \, {cm}^2 }$

19. Question

Tom walks through route AB of length $5m$. The vertical distance BC is $3m$ and the horizontal distance AC is $4m$. Find the gradient of the route AB.

$ \cfrac{3}{4} $
$ \cfrac{4}{5} $
$ \cfrac{3}{5} $
$ \cfrac{5}{4} $

20. Question

Two similar cones having heights 4 cm and 2 cm respectively. If the volume of the large cone is V $\rm cm^3$, then the volume of the small one is:

$ \mathrm{ \cfrac{V}{2} \, {cm}^3} $
$ \mathrm{ \cfrac{V}{4} \, {cm}^3 }$
$ \mathrm{ \cfrac{V}{6} \, {cm}^3 }$
$ \mathrm{ \cfrac{V}{8} \, {cm}^3 }$

21. Question

$ \textrm{If } \dfrac{a}{x} + \dfrac{b}{y} = 5, \textrm{ then } x = $

$ \dfrac{ay}{5y-b}. $
$ \dfrac{ay}{b-3y}. $
$ \dfrac{by}{5y-a}. $
$ \dfrac{by}{a-3y}. $

Quiz Summary

Information

Results