Finished: Math Practice Questions 2/06/2025
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. If the perimeter of the farm is 54 blocks, find the dimensions of the farm.
Steps:
2L + 2W = 54. Let W = width, L = 2W + 3. Solve to get W = 8, L = 19.
Answer: 8 X 19
Question 2 (Football)
During a football match, a player scores 3 more goals than twice the number of assists they make. If the total number of goals and assists is 12, how many goals and assists did the player have?
Steps:
Let the number of assists be A
let the goals be G
g = 2a+3
total is a+2a+3
=3A+3=12
3a=9
assists is 3
Answer: the player made 3 assists and scored 9 goals
Question 3 (Greek Philosophers)
Plato has twice as many philosophy books as Aristotle, and together they have 27 books. How many books does each philosopher have?
Steps:
27/3=9
plats has double the books that Aristotle has so he has 18
Answer: Plato has 18 and Aristotle has 9
Question 4 (Minecraft)
A creeper explosion destroys 5 blocks more than half the blocks in a wall. If the wall originally had x blocks, and 35 blocks remain after the explosion, find x.
Steps:
is 5 more then half is destroyed and there is 35 left that means half is 40
which means x=80
Answer: x = 80
Question 5 (Football)
A football team’s points come from wins (3 points each) and draws (1 point each). If they have 8 wins and some draws, totaling 30 points, how many draws did they have?
Steps:
8 times 3 = 24
30-24=6
6 draws
Answer: 6 draws
Question 6 (Greek Philosophers)
Socrates has 5 more scrolls than Pythagoras, and together they have 41 scrolls. How many scrolls does each have?
Steps:
P+5=s
P+s=41
P+p+5=41
2p+5=41
2p=36
p=18
18+5=23
Answer: p=18 and S is 23
Question 7 (Minecraft - Simultaneous Equations)
In Minecraft, diamonds and emeralds are mined.
- 3 diamonds and 2 emeralds weigh 16 kg in total.
- 2 diamonds and 5 emeralds weigh 18 kg in total.
Find the weight of 1 diamond and 1 emerald.
Steps:
let diamonds be d
let emeralds be E
3D + 2E = 16 and 2D + 5E = 18
using elimination
D=4 then E=2
Answer:D=4 then E=2
Question 8 (Football - Simultaneous Equations)
A football club sells adult tickets for $10 and child tickets for $5.
- One game sells 50 tickets in total.
- Total revenue is $350.
How many adult and child tickets were sold?
Steps:
adult tickets earn 5 more dollars
if all tickets were children there would only have earned 250 dollars
so that would mean there would have been 100extrafrom adult tickets
100/5 is 20
so there is 30 children's tickets and 20 adult tickets
Answer: so there is 30 children's tickets and 20 adult tickets
Question 9 (Greek Philosophers - Fractions)
Aristotle reads 1/3 of his philosophy books on Monday and half of the remaining books on Tuesday. If he has 4 books left, how many books did he start with?
Steps:
4= half of remaining books so remaining books is 8
8 times 3=24
Aristotle had 24 books to start with.
Answer:Aristotle had 24 books to start with.
Question 10 (Minecraft - Expanding Brackets)
A Minecraft chest contains (2x + 3) stacks of cobblestone and (x - 4) stacks of wood.
Write an expression for the total number of stacks and simplify it.
Steps:
(2x+3)+(x-4)
3x-1
Answer:3x-1
These questions cover linear equations, simultaneous equations, fractions, and expanding expressions, all aligned with NCEA Level 1 algebra standards. Let me know if you'd like any modifications! by deepseek-chat