Finished: Math Practice Questions 21/07/2025
Here are 10 NCEA Level 1 Mathematics practice questions aligned with the NCEA 91947 standard, focusing on algebra and incorporating your hobbies (Minecraft, football, and Greek philosophers):
Question 1 (Algebra - Minecraft)
Steve in Minecraft wants to craft bookshelves. Each bookshelf requires 6 wooden planks and 3 books. If Steve has 42 wooden planks and 24 books, how many bookshelves can he craft?
Steps:
⌊6/42⌋=7 bookshelves
⌊3/24⌋=8 bookshelves
min(7,8)=7
Answer: min(7,8)=7
Question 2 (Algebra - Football)
A football team scores 3 points for a win, 1 point for a draw, and 0 for a loss. If a team has 5 wins, 2 draws, and 3 losses, what is their total points?
Steps:
5x 3 = 15
15+2=17
they have 17 points
Answer: they have 17 points
Question 3 (Algebra - Greek Philosophers)
Pythagoras has a collection of ancient scrolls. He gives away 1/4 of them to Plato and then 1/3 of the remaining scrolls to Aristotle. If he has 24 scrolls left, how many did he start with?
Steps:
(2/3)(3x/4) = x/2 = 24 → x = 48.
Answer: 48 books
Question 4 (Algebra - Simultaneous Equations - Minecraft)
In Minecraft, diamonds (D) and emeralds (E) have the following exchange rates:
- 3D + E = 16 iron ingots
- 2D + 4E = 24 iron ingots
Solve for D and E.
Steps:
2D=24-4E
36-6E+e=16
36-5E=16
20 = 5E
E=4
if e = 4
D=4
Answer: e = 4 and D=4
Question 5 (Algebra - Football)
A football stadium has a seating capacity of 25,000. If 3/5 of the seats are filled and 1/4 of the remaining seats are reserved for VIPs, how many seats are empty?
Steps:
3/5 of 25000 is
15000
3750+15000 = 18750
25000 - 18750 =
6250 seats are empty
Answer: 6250 seats are empty
Question 6 (Algebra - Greek Philosophers)
Socrates has twice as many students as Aristotle. Together, they have 36 students. How many students does each have?
Steps:
36/3 = 12
12 times 2 = 24
Socrates has 24
and Aristotle has 12
Answer: Socrates has 24 and Aristotle has 12
Question 7 (Algebra - Minecraft)
A Minecraft creeper’s explosion radius (R) is given by the formula:
[ R = 2t + 5 ]
where ( t ) is time in seconds. If the explosion radius is 17 blocks, how long did it take?
Steps:
17- 5 = 12
12/2 = 6
it took 6 seconds to have a explosion radius 17
Answer: it took 6 seconds to have a explosion radius 17
Question 8 (Algebra - Football)
A football is kicked with an initial speed ( v ) (m/s). The distance ( d ) (meters) it travels is given by:
[ d = 0.1v^2 ]
If the ball travels 40 meters, what was its initial speed?
Steps:
( 40 = 0.1v^2 )
Divide both sides by 0.1: ( v^2 = 400 ).
Take the square root: ( v = 20 ) m/s (since speed can’t be negative).
Answer: ( v = 20 ) m/s
Question 9 (Algebra - Greek Philosophers - Simultaneous Equations)
Plato and Aristotle debate for a total of 12 hours. Plato debates 2 hours more than twice Aristotle’s time. How long did each debate?
Steps:
12-2 = 10
10/2 = 5
5+2
Plato debates for 7 hours while Aristotle debates for 5 hours.
Answer: Plato debates for 7 hours while Aristotle debates for 5 hours.
Question 10 (Algebra - Minecraft)
A Minecraft farmer harvests carrots (C) and potatoes (P). The total harvest is 120 crops, and carrots are 20 more than potatoes. Write and solve the equations to find C and P.
Steps: 120 - 20 = 100
100 / 2 = 50
there are 50 potatoes and 70 carrots
Answer: there are 50 potatoes and 70 carrots
These questions align with the NCEA Level 1 Algebra standard (70% focus) while incorporating your interests. Let me know if you'd like adjustments! by deepseek-chat