Finished: Math Practice Questions 14/06/2025
Here are 10 algebra practice questions tailored to your interests in Minecraft, football, and Greek philosophers, designed for NCEA Level 1 preparation:
Question 1 (Minecraft)
Steve is building a rectangular farm in Minecraft. The length of the farm is 3 blocks more than twice its width. The perimeter of the farm is 42 blocks. Find the width and length.
Steps:
42/2 = 21
21-3=18
18/3= width
Answer: 6 x 15
Question 2 (Football)
A football team scored a total of 50 goals in a season. The number of goals scored in the second half of the season was 5 more than double the goals in the first half. How many goals were scored in each half?
Steps: 50-5 = 45
45/3 = 15
15 in the first half and 35 in the second half
Answer: 15 in the first half and 35 in the second half
Question 3 (Greek Philosophers)
Plato and Aristotle have a total of 122 scrolls. Plato has 10 fewer than three times the number of scrolls Aristotle has. How many scrolls does each philosopher have?
Steps:
Let’s set it up: Let Aristotle’s scrolls = x. Plato has 3x - 10. Total: x + 3x - 10 = 122.
4x-10=122
4x=132
x=33
Answer: Aristotle has 33 and Plato has 89
Question 4 (Minecraft - Simultaneous Equations)
In Minecraft, Alex collects diamonds (D) and emeralds (E). She has:
- D + E = 24
- D = 2E + 3
Find how many diamonds and emeralds she has.
Steps:
2E+3+E=24
3E+3=24
3E=21
E=7
is E is 7 then D is 17
Answer: 7 emeralds and 17 diamonds
Question 5 (Football - Linear Equations)
A football ticket costs $18 for adults and $8 for children. A group of 12 people paid $136 in total. How many adults and children were there?
Steps:
Let adults = A, children = 12 - A. Total cost: 18A + 8(12 - A) = 136 → A = 4.
if all were kids there would only be $96
each adult pays $10 more so they will need
Answer: 4 adults and 8 children
Question 6 (Greek Philosophers - Substitution)
Socrates has twice as many students as Pythagoras. Together, they have 36 students. How many students does each have?
Steps:
36/3=12
Pythagoras has 12 and Socrates has 24
Answer: Pythagoras has 12 and Socrates has 24
Question 7 (Minecraft - Expanding Brackets)
A Minecraft chest contains (3x + 2) stacks of cobblestone and (2x - 5) stacks of wood. Write and simplify an expression for the total stacks in the chest.
Steps:
3x+2 +2x-5=
5X-3
Answer: 5X-3
Question 8 (Football - Solving Equations)
A football team won 4 more games than they lost. If they played 20 games in total, how many did they win?
Steps:
20/2 = 10
10-2 = 8
so they lost 8 and won12
Answer: so they lost 8 and won 12
Question 9 (Greek Philosophers - Factorising)
Factorize the expression representing the number of debates held by philosophers:
6x² + 9x
Steps:
3x(2x+3)
Answer: 3x(2x+3)
Question 10 (Minecraft - Linear Graphs)
In Minecraft, the height (y) of a block tower is given by y = 2x + 5, where x is the number of layers.
- What is the height after 8 layers?
- How many layers are needed to reach 21 blocks high?
Steps:
Answer: answer to question 1 is 16+5= 21
answer to question 2 is 8
These questions integrate algebra with your interests while aligning with NCEA Level 1 standards. Let me know if you'd like any modifications! by deepseek-chat