Question 1
32906

In the adjacent diagram, find the value of 

i) \(x\)
ii) \(y\)

i) \(x=4\)  ii) \(y=3\)

Question 2
32907

Find the number when one-third of a number is increased by 10, the result is 12.

\(6\)

Question 3
32908

The sum of three consecutive numbers is 78. Find the

i) Smallest number
ii) Largest number

i) \(25\)  ii) \(27\)

Question 4
32909

The difference between the two numbers is 64. The ratio of the two numbers is \(7:3\). Find

i) Larger number
ii) Smaller number

i) \(112\)  ii) \(48\)

Question 5
32910

Brendan is 5 years younger than Maddy. Four years later, Maddy will be twice as old as Brendan. Find the present ages of Brendan and Maddy respectively. 

Maddy \(=6\) and Brendan \(=1\)

Question 6
111093

When a number is trebled and decreased by 5, the answer is 19. The number is?

8

Question 7
111094

Two consecutive odd numbers have a sum of 64. Find the product of the numbers. 

1023

Question 8
111095

Tony used a $100 note to pay for a tour of Bathurst. The amount of change he received was $10 more than the cost of the tour. What was the cost of the tour? 

$45

Question 9
111096

Alice bought a 500 g packet of flour. She used some flour to bake a cake and one third of the remaining flour to make biscuits. She used 40 g more flour for the cake than for the biscuits. How much flour did she use for the cake?

155 g

Question 10
111097

Of the lambs born on the farm, there were 40 fewer males than females. If \(\dfrac{2}{5}\) of the lambs were male, determine the number of lambs that were born. 

200