Algebra
Evaluate the expression 2x − 3y when x = -2 and y = 9
-27
Jennifer needs to fence her country house block to keep her dog in. The block is a rectangle with length 50 m and breadth 42 m. Fencing costs $13 per metre. What will be the total cost of fencing?
$2,392
Express 60c as a percentage of $5
12%
Is 16, 36, 52 a Pythagoras triad?
yes
How long is an Olympic swimming pool (in meters)?
A plumber charges a $70 call-out fee and then $90 per hour. Write an expression for the total cost (C) of calling a plumber out for (x) hours.
C=70+90x
Find the area of a square if it's perimeter is 20cm.
25cm2
Decrease $63 by 15%
$53.55
A ladder that is 2 m in length is placed against a wall 1.2 m from its base. How far up the wall does the ladder reach?
height = 1.6 m
What are the names of Cinderella’s stepsisters?
Anastasia and Drizella
Write an expression for the following statement and then expand it to solve
A number w is tripled, and then 5 is subtracted. The result is doubled.
6w - 10
What is the formula for the area of a trapezium?
A=h/2 (a+b)
Calculate the final price of a product costing $320 if GST (10%) is added.
$352
A rectangle has a length of 24cm and a perimeter of 62 cm.
Find the length of the rectangle's diagonal.
diagonal = 25
What does “www” stand for in a website browser?
World Wide Web
A box has a height of x cm. It is 3 times as wide as it is high, and 2 times as long as it is wide. Find an expression for the volume of the box, given that volume = length × breadth × height.
18x3
What is the height of a triangle that has a base of 13 cm and an area of 45.5 cm2.
7cm
Gemma purchased a $400 foal, which she later sold for $750. Calculate the percentage profit Gemma made.
87.5%
Two candles are placed 9cm apart. One is 21cm and the other is 34cm in height. What is the distance between the top of the two candles? Give your answer close to 2 decimal places
15.81 cm
Which country consumes the most chocolate per capita?
Switzerland
Factorise and simplify the following expression:
(7p+14pq)/(9p+18pq)
7/9
A water tank is 12m high, 5m long and 9m wide. A solid metal box which is 7m high, 4m long and 8m wide is sitting at the bottom of the tank. The tank is filled with water.
What is the volume of the water in the tank?
Three different brands of washing powder are on sale. Their prices are shown below.
Work out which brand provides the best value for money.
A) 500g for $2.56
B) 1 kg for $5.10
C) 1.25 kg for $6.05
C) 1.2kg for $6.05
What is the base of an isosceles triangle with equal sides of 15 mm and a height of 1.2 cm. Answer to 2 decimal places.
base = 18 mm
How many languages are written from right to left?
12