13 Jul 2025

Finished:Math Practice Questions 13/07/2025

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 - Block Ratios)

Steve is building a castle in Minecraft. He uses cobblestone and oak planks in a ratio of 5:3. If he uses 120 cobblestone blocks, how many oak planks does he need?

Steps:

120/5

24x 3 = 73

Steve uses 72 oak planks

Answer: Steve uses 72 oak planks

Question 2 (Football - Goal Scoring)

During a football season, Leo scores x goals, and his teammate scores 3x – 5 goals. Together, they score 43 goals. Write an equation and find how many goals Leo scored.

Steps:

43+5 = 48

48/4 = 12

Leo scored 12 goals

Answer: Leo scored 12 goals

Question 3 (Greek Philosophers - Logic Puzzle)

Aristotle says, "The sum of twice a number and 8 is equal to 20." Write an equation and solve for the unknown number.

Steps:

20-8=12

12/2=6

Answer: the number is 6

Question 4 (Minecraft - Crafting Costs)

To craft a sword, you need 2 sticks and 1 diamond. If you have y diamonds and 12 sticks, write an inequality to show the maximum number of swords you can craft.

Steps:

12/2 = 6

number of swords ≤ 6

Answer: number of swords ≤ 6

Question 5 (Football - Ticket Sales)

During a football season, Jim scores x goals, and his teammate scores 3x – 10 goals. Together, they score 86 goals. Write an equation and find how many goals Jim scored.

Steps:

86+10 = 96

96/4 = 24

Jim scored 24 goals

Answer: Jim scored 24 goals

Question 6 (Greek Philosophers - Geometry)

Pythagoras says, "One side of a square is (2x + 1) cm, and its perimeter is 52 cm." Find the value of x.

Steps:

52/4=

13-1

12/2 = 6

X=6

Answer: X=6

Question 7 (Minecraft - Farming Wheat)

A Minecraft farmer harvests 4x wheat from one field and 2x + 10 from another. If the total harvest is 130 wheat, find x.

Steps:

4x + (2x + 10) = 130 → 6x = 120 → x = 20.

Answer: X is 20

Question 8 (Football - Player Ages)

Two football players have ages that add to 35. The older player is 2 years more than double the younger player’s age. Write simultaneous equations and solve for their ages.

Steps:

y + (2y + 2) = 35 → 3y = 33 → y = 11, older player = 24.

Answer: younger player= 11, older player = 24.

Question 9 (Greek Philosophers - Algebra Riddle)

Plato says, "A number divided by 3, plus 7, equals 12." Find the number.

Steps:

12-7 = 5

5x3 = 15

Answer: the original number is 15

Question 10 (Minecraft - Enchantment Costs)

Enchanting a diamond pickaxe costs 3 lapis lazuli and x levels. If you have 30 lapis lazuli and want to enchant as many pickaxes as possible, write an expression for the maximum number of enchants possible.

Steps:

30/3

Answer: 10 is the max enchants possible

Each question includes Steps and Answer sections for working out solutions. Let me know if you'd like any adjustments! by deepseek-chat