Percentages
What number do you multiply by to increase a value by 35%?
1.35
A ratio of $1.10 to 97 cents is written:
110:97
A box is full of blue and red counters in the ratio 1 : 2. Which colour counter fills of the box?
Red
C is (6, 5) and D is (4, 3). The two x-coordinates are:
6 and 4
A value is multiplied by 1.09. What is the percentage change?and was it an increase or decrease?
An increase of 9%
It costs $120 to hire a car for three days. How much would it cost to hire the same car for seven days?
A box contains 30 cupcakes. 12 of the cupcakes are chocolate and the rest are vanilla. What is the ratio of chocolate to vanilla cupcakes? Give the ratio in its simplest form.
2:3
What is the x-coordinate of the midpoint of the line segment XY if X has coordinates (7, 9) and Y has coordinates (3, –3)?
5
Anna is using only 39% of the 60 GB memory on her computer. How much free memory is left?
36.6
Simplify the ratio 2 kg : 250 g
The probability that Sachita is late for school is 0.7. What is the probability that Sachita is not late for school?
0.3
If 1/2(6 + 10)h = 96, what is the value of h?
12
The population of a town is 75 838. 10 years later, the population has decreases by 8%. Calculate the new population of the town. Give your answer to the nearest whole number.
69,771
A sum of money is divided between three people in the ratio 1 : 2 : 0.5. The smallest share is $48. What is the total sum of money?
$336
The probability that the school cricket team wins their next match is 72%. What is the probability that the team does not win their next match?
28
A compound prism is made by joining a triangular prism and a cuboid. They both have a base of 6 cm, a height of 7 cm and a length of 13 cm. What is the volume of the compound prism.
819 cm3
Miyako bought a house for $956 000. In the first year, the value increased by 15%. In the second year, the value fell by 22%. What was the absolute change in her house value?
$98,468
Ibrahim mixes a drink using orange concentrate and water in the ratio 7 : 13. Hiba mixes a drink using water and orange concentrate in the ratio 21: 9. Who has made the stronger flavoured drink?
Ibrahim
The theoretical probability of tossing a 4 on a die is . After gathering some data from some trials, the experimental probability was . What is the difference between these two probabilities? Give your answer in its simplest form.
1/24
ABCD is a square. A is the point (2, 9) and C is the point (18, 25). What are the coordinates of the point of intersection of the diagonals of the square?
(10,17)