Question 1:
Simplify the expression:
3x + 5x − 7
3x + 5x − 7 = 8x − 7
2x + 7 = 15
Answer 2:
2x + 7 = 15
Subtract 7 from both sides:
2x = 8
Divide both sides by 2:
x = 4
Question 3:
Find the value of y if:
5y − 3 = 2y + 12
Answer 3:
5y − 3 = 2y + 12
Subtract 2y from both sides: 3y − 3 = 12
Add 3 to both sides: 3y = 15
Divide by 3: y = 5
Question 4:
Calculate the area of a rectangle with length 8 cm and width 5 cm
Answer 4:
Area = length × width
Area = 8 × 5 = 40 cm²
Question 5:
A shop sells 3 pens for $6. How much will 10 pens cost?
Answer 5:
3 pens → $6
1 pen → $6 ÷ 3 = $2
10 pens → 10 × $2 = $20
Question 6:
A car travels 150 km in 3 hours. Find its average speed.
Answer 6:
Average speed = distance ÷ time
Average speed = 150 ÷ 3 = 50 km/h
Question 7:
Simplify:
7(2x − 3) + 4x
7(2x − 3) + 4x = 14x − 21 + 4x = 18x − 21
Question 8:
Find the perimeter of a square with side 6 cm
Answer 8:
Perimeter of a square = 4 × side
Perimeter = 4 × 6 = 24 cm
Question 9:
A bottle holds 2.5 liters of juice. How many bottles are needed to hold 20 liters?
Answer 9:
Number of bottles = total juice ÷ juice per bottle
Number of bottles = 20 ÷ 2.5 = 8 bottles
Question 10:
A shirt costs $45. If it is on sale at 20% off, what is the sale price?
Answer 10:
Discount = 20% of $45 = 0.2 × 45 = $9
Sale price = 45 − 9 = $36
Question 11:
Write 0.00056 in standard for
Answer 11:
0.00056 = 5.6 × 10⁻
Question 12:
A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of picking a blue bal
Answer 12:
Total balls = 5 + 3 + 2 = 10
Probability of blue = number of blue ÷ total = 3 ÷ 10 = 3/10
Question 13:
Find the simple interest on $500 at 8% per year for 3 years.
Answer 13:
Simple Interest (SI) = (Principal × Rate × Time) ÷ 100
SI = (500 × 8 × 3) ÷ 100 = 120
Question 14:
The ratio of boys to girls in a class is 3:4. If there are 12 boys, how many girls are there?
Answer 14:
Ratio of boys to girls = 3:4
3 → 12 boys
1 part = 12 ÷ 3 = 4
4 parts = 4 × 4 = 16 girls
Question 15:
Find the circumference of a circle with radius 7 cm. (Use π = 22/7)
Answer 15:
Circumference = 2 × π × r
Circumference = 2 × (22/7) × 7 = 44 cm
Question 1:
A house worth $150,000 appreciates by 8% in a year. Find its new value.
Answer 1:
New Value = 150,000 × (1 + 0.08) = 150,000 × 1.08 = 162,000
Question 2:
A motorbike worth $80,000 depreciates by 15%. Find its new value.
Answer 2:
New Value = 80,000 × (1 − 0.15) = 80,000 × 0.85 = 68,000
Question 1:
A worker earns a monthly salary of $25,000. If he gets a 10% raise, what is his new salary?
Answer 1:
New Salary = 25,000 × (1 + 0.10) = 25,000 × 1.1 = 27,500
Question 2:
A teacher earns $40,000 per month. She receives a 12% increase in her salary. What is her new monthly salary?
Answer 2:
New Salary = 40,000 × (1 + 0.12) = 40,000 × 1.12 = 44,800
Question 1:
A worker earns $200 per day. If he works 2 hours of overtime in a day at 1.5 times his normal hourly rate, how much does he earn for the overtime? (Assume 8 hours in a normal workday)
Answer 1:
Normal hourly rate = 200 ÷ 8 = 25 per hour
Overtime rate = 25 × 1.5 = 37.5 per hour
Overtime pay = 37.5 × 2 = 75
Question 2:
A worker earns $300 per day for 8 hours. He works 3 hours of overtime at double time. How much does he earn for the overtime?
Answer 2:
Normal hourly rate = 300 ÷ 8 = 37.5 per hour
Overtime rate = 37.5 × 2 = 75 per hour
Overtime pay = 75 × 3 = 225
Question 1:
A salesperson sells goods worth $50,000 and earns a commission of 5%. How much commission does he earn?
5% of 50,000 → �
✅ Answer: $2,500
