Unit 1
People leave a market carrying the following numbers of bags:
1, 1, 5, 4, 7, 5, 5
What is the range of the number of bags?
6 bags
What is the least common multiple of two numbers?
For any two numbers, it is the smallest whole number that can be evenly divided by those two numbers.
A bag of sugar has a mass of 2400 grams. How would you express this mass in kilograms?
2.4 kg
Write 36/42 in its simplest form
6/7
Find the next number:
2, 4, 6, 8, 10, ?
12 (even numbers)
Students in a class have names with the following number of letters:
3, 4, 5, 7, 2, 6, 5, 8
How many students have a name whose length is divisible by 3?
2
What does the term "square root" mean?
For a given value, its square root is what number times itself equals that value.
Simplify the expression by collecting like terms:
r2 + 5r + 3r2 - 2r
4r2 + 3r
Write 24/7 as a mixed number
3 3/7
0, -1, 2, -3, 4, -5, 6, ?
-7 (Euler spiral)
Artemis counts the number of kilometres they run every day for a week:
4, 3, 6, 0, 2, 3, 12
What was their median run distance?
3 km
What is the highest common factor of 45 and 60?
15 (15 x 3 and 15 x 4)
If y = mx + c, find the value of y when:
m = -2, x = 0, c = -5
y = -5
A cat eats 2/3 of a tin of cat food every day. How much food will it eat over the course of two weeks?
28/3, 9 1/3, 9.3333333... cat food tins
2, 3, 5, 8, 13, 21, ?
34 (add two numbers to get next term)
Ada scored the following number of points in a season of basketball games:
3, 0, 8, 7, 6, 7, 6, 4
What is the median number of points that she scored per game?
6 points
Work out:
(1 + 2 x 4)2
81
In the equation y = x / c, what is the letter "c"?
The divisor
Which is larger, 65% or 16/25?
65%
Find the next number:
2, 3, 5, 7, 11, 13, ?
17 (prime numbers)
In the 2024 Olympics, Uziel Munos threw the following distances in the shot put event:
21.22 m, 20.68 m, 20.88 m, 20.80 m, 20.29 m
Which distance is greater: the mean or the median?
The median (20.80 m over 20.774 m)
Find the least common multiple of 18 and 24
72 (18 x 4 and 24 x 3)
Find the value of 3x(2x - 5) when x = 4
36
A postcard has a height of 4 1/2 cm, and a width of 6 2/3 cm. What is the surface area of the postcard?
30 cm2
192, 96, 48, 24, 12, ?
6 (dividing by 2)