Algebra
Equation
Data
Ratio
Rate
Mystery
1
Simplify 5y + 2y
7y
1
Solve for x:
x - 4 = 10
x = 14
1
Find the mode of this dataset:
4, 6, 3, 4, 2, 7, 4
4
1
Simplify the ratio 20 : 35
4 : 7
1
If a car travels 240 km in 3 hours, what is its average speed in km/h?
240 km / 3 h = 80 km/h
1
What is the name of the streaming service that released the popular show "Stranger Things"?
Netflix
2
If a = 3 and b = 5, evaluate 2a + b.
2(3) + 5 = 6 + 5 = 11
2
Solve for a:
3a + 5 = 20
a = 5
2
Calculate the mean of the numbers:
12, 15, 18, 21, 14
(12+15+18+21+14)/5 = 16
2
A recipe requires flour and sugar in a 3:2 ratio. If you use 9 cups of flour, how many cups of sugar are needed?
3/2 = 9/sugar. Sugar = (9*2)/3 = 6 cups
2
A tap fills a 60-litre tank in 5 minutes. What is the flow rate in litres per minute?
60 L / 5 min = 12 L/min
2
What is the only food that cannot spoil? (Hint: Archaeologists have found pots of it in ancient Egyptian tombs!)
Honey
3
Simplify the expression by collecting like terms:
- 4x + 5y - 2x + y
-6x+6y
3
Solve for y:
1/y=56
1/8
3
A dataset has a mean of 20. If the number 50 is added to the dataset, will the mean increase, decrease, or stay the same?
Explain your answer.
Increase. The number 50 is much higher than the current mean of 20, so it will pull the average up.
3
Divide 60 marbles in the ratio 2 : 3.
2+3=5 parts. 60/5=12 marbles per part. The shares are 24 and 36 marbles.
3
Which is the better buy: a 500g box of cereal for $4.50 or a 750g box for $6.60? Justify your answer.
First box: $4.50 / 500g = $0.009 per gram.
Second box: $6.60 / 750g = $0.0088 per gram.
The second box is the better buy.
3
Which singer's real name is Robyn Fenty?
Rihanna
4
Expand the expression: -3(2m + 5)
-6m - 15
4
Solve for k:
5k - 4 = 2k + 11
k = 5
4
Find the median and range from this stem-and-leaf plot:
Median: 21 (the 5th value of the 8 values).
Range: 37 - 12 = 25.
4
The ratio of boys to girls in a class is 5:7. If there are 12 more girls than boys, how many students are in the class?
The difference in parts is 7-5=2 parts.
This equals 12 students, so 1 part = 6 students. Total parts = 5+7=12. Total students = 12 * 6 = 72
4
A car uses 45 litres of petrol to travel 600 km. What is its fuel consumption rate in litres per 100 km?
45 L / 600 km = 0.075 L/km.
For 100 km: 0.075 * 100 = 7.5 L per 100 km.
4
According to merchandise sales data from 2024, which classic Disney character (not a princess) was the year's best-seller
Mickey Mouse
5
Factorise the expression:
12x - 18
6(2x - 3)
5
Solve the quadratic equation for n:
3n² = 75
n = 5 or n = -5
5
A student has test scores of 85, 90, and 88. What must they score on the fourth test to have a mean test score of exactly 90?
x = 97
5
Paint is mixed using red and blue in a ratio of 3:1. A second shade uses a ratio of 1:2. If you mix 12 litres of both shades, what is the new ratio of red to blue paint?
Assume you mix 12 litres of each.
First shade (3:1): 9L red, 3L blue.
Second shade (1:2): 4L red, 8L blue.
Total: Red = 9+4=13L, Blue = 3+8=11L. New ratio is 13 : 11.
5
If 3 people can paint a fence in 4 hours, how long would it take 6 people to paint the same fence? (Assume they work at the same rate).
2 hours.
Twice as many people will take half the time. 4 hours / 2 = 2 hours.
5
What is one movie Ms.Zhu is looking forward to see on Netflix? (Hint: It is going to be released on the 12nd of December this year)
Wake Up Dead Man: A Knives Out Mystery