Last saved by: Chase Brooks

Name: ______________________________________   Date: _______________ Class: ________

Topic 1 – Numbers & Algebra Test Review
1.	Let A = 4.5 × 10^–3 and B = 6.2 × 10^–4. Find
(a)	AB;
(b)	2(A + B).
	Give your answers in the form a × 10^k, where 1 ≤ a < 10 and k ∈ .
Working: |

Answers:
(a)	…………………………………………..
(b)	…………………………………………..

(Total 4 marks)

2.	(a)	A girl’s height is 1.623 m. Write her height to the nearest cm.
(b)	The time taken to fill a tank was 2 hours 43 minutes. Write this time to the nearest 5 minutes.
(c)	The attendance at a show was 2591 people. How many people, to the nearest 100, were at the show?
(d)	The mean distance of the Moon from the Earth is approximately 384 403 km. Write this distance in the form a × 10^k where 1 ≤ a < 10 and k ∈ .
Working: |

Answers:
(a)	…………………………………………..
(b)	…………………………………………..
(c)	…………………………………………..
(d)	…………………………………………...

(Total 4 marks)

3.	A woman deposits $5100 into her son’s savings account on his first birthday. On his second birthday she deposits $5125, $5150 on his third birthday, and so on.
(a)	How much money would she deposit into her son’s account on his 17th birthday?
(b)	How much in total would she have deposited after her son’s 17th birthday?
Working: |

Answers:
(a)	…………………………………………..
(b)	…………………………………………..

(Total 4 marks)

4.	A geometric sequence has all its terms positive. The first term is 7 and the third term is 28.
(a)	Find the common ratio.
(b)	Find the sum of the first 14 terms.

(Total 6 marks)

5.	A picture is in the shape of a square of side 5 cm. It is surrounded by a wooden frame of width 
x cm, as shown in the diagram below.

	The length of the wooden frame is l cm, and the area of the wooden frame is A cm^2.
(a)	Write an expression for the length l in terms of x.
(1)
 
(b)	Write an expression for the area A in terms of x.
(2)
 
(c)	If the area of the frame is 24 cm^2, find the value of x.
(4)
(Total 7 marks)

 
6.	Mal is shopping for a school trip. He buys 50 tins of beans and 20 packets of cereal. The total cost is 260 Australian dollars (AUD).
(a)	Write down an equation showing this information, taking b to be the cost of one tin of beans and c to be the cost of one packet of cereal in AUD.
(1)
 
	Stephen thinks that Mal has not bought enough so he buys 12 more tins of beans and 6 more packets of cereal. He pays 66 AUD.
(b)	Write down another equation to represent this information.
(1)
(c)	Find the cost of one tin of beans.
(2)
(d)	(i)	Sketch the graphs of these two equations.
(ii)	Write down the coordinates of the point of intersection of the two graphs.
(4)
(Total 8 marks)