MATHNASIUM Job Assessment Exam Actual Exam 2025/2026 50 Questions with Detailed Solutions 100% correct

MATHNASIUM
Job Assessment Exam
Actual Exam 2025/2026
50 Questions with Detailed Solutions

PART 1: ARITHMETIC & NUMBER SENSE
Questions 1-10 | Basic Operations & Fractions
Question 1
What is 3/4 + 5/6?
A) 8/10
B) 1 7/12
C) 1 7/12
D) 19/12
💡 STEP-BY-STEP SOLUTION

Step 1: Find LCD of 4 and 6 = 12
Step 2: Convert: 3/4 = 9/12 and 5/6 = 10/12
Step 3: Add: 9/12 + 10/12 = 19/12
Step 4: Convert to mixed number: 19/12 = 1 7/12
✓ TEACHING TIP

Always encourage students to find the least common denominator (LCD) first. Visual models like fraction
bars help students understand why we need common denominators.

Question 2
Calculate: -8 - (-15)
A) -23
B) -7
C) 7
D) 23
💡 STEP-BY-STEP SOLUTION

, Step 1: Subtracting a negative is the same as adding
Step 2: -8 - (-15) = -8 + 15
Step 3: Start at -8, move 15 units right = 7
⚠️ COMMON STUDENT ERROR

Students often forget that two negatives make a positive. Use the phrase "Keep, Change, Change" or a
number line to reinforce this concept.

Question 3
What is 15% of 240?
A) 30
B) 36
C) 40
D) 45
💡 STEP-BY-STEP SOLUTION

Method 1: 0.15 × 240 = 36
Method 2: (15/100) × 240 = 36
Method 3: 10% of 240 = 24, half of that (5%) = 12, so 15% = 24 + 12 = 36
✓ TEACHING TIP

Teach multiple methods! Some students prefer decimal conversion, others respond better to benchmark
percentages (10%, 25%, 50%).

Question 4
Simplify: 2/3 ÷ 4/9
A) 8/27
B) 1 1/2
C) 6/12
D) 3/2
💡 STEP-BY-STEP SOLUTION

Step 1: "Keep, Change, Flip" - Keep first fraction, change to multiplication, flip second fraction
Step 2: 2/3 × 9/4
Step 3: Multiply: (2 × 9)/(3 × 4) = 18/12
Step 4: Simplify: 18/12 = 3/2 = 1 1/2
Question 5