Mathematics-Practice-1

Prepare for the SPSC Mathematics examination with 20 carefully designed MCQs covering algebra, arithmetic, logarithms, probability, statistics, geometry, sequences, percentages and quantitative aptitude. Practise with correct answers and detailed explanations to strengthen your mathematical skills for Sindh Public Service Commission competitive examinations.

Practice questions

If 35% of a number is 140, what is the number?
- 300
- 350
- 400
- 450
A person buys an article for Rs. 800 and sells it for Rs. 920. What is the profit percentage?
- 10%
- 12%
- 15%
- 20%
If 3x − 7 = 20, what is the value of x?
- 7
- 8
- 9
- 10
The average of five numbers is 24. If four numbers are 18, 20, 25 and 27, what is the fifth number?
- 28
- 29
- 30
- 32
A sum of Rs. 5,000 is invested at 8% simple interest per annum for 3 years. What is the total interest?
- Rs. 1,000
- Rs. 1,100
- Rs. 1,200
- Rs. 1,400
If the ratio of two numbers is 4:7 and their sum is 99, what is the smaller number?
- 32
- 36
- 42
- 45
What is the next number in the sequence 3, 8, 15, 24, 35, ___?
- 42
- 46
- 48
- 50
If log₁₀ 1000 = x, what is the value of x?
- 2
- 3
- 4
- 10
A train travels 240 kilometres in 4 hours. What is its average speed?
- 50 km/h
- 55 km/h
- 60 km/h
- 65 km/h
A bag contains 5 red balls and 3 blue balls. What is the probability of selecting a blue ball in one random draw?
- 3/5
- 3/8
- 5/8
- 1/2
What is the area of a rectangle whose length is 15 cm and width is 8 cm?
- 100 cm²
- 110 cm²
- 120 cm²
- 130 cm²
What is the value of 2⁵ × 2³?
- 64
- 128
- 256
- 512
If the circumference of a circle is 44 cm, what is its radius? Use π = 22/7.
- 5 cm
- 6 cm
- 7 cm
- 8 cm
A worker completes a task in 12 days. What fraction of the task does the worker complete in one day, assuming a constant rate?
- 1/6
- 1/10
- 1/12
- 1/15
What is the median of the numbers 7, 3, 9, 5 and 11?
- 5
- 7
- 9
- 11
If x² = 81 and x is positive, what is the value of x?
- 7
- 8
- 9
- 10
A shop offers a 20% discount on an article marked at Rs. 1,500. What is its selling price?
- Rs. 1,100
- Rs. 1,150
- Rs. 1,200
- Rs. 1,250
What is the value of the sum of the first 10 positive integers?
- 45
- 50
- 55
- 60
Two angles of a triangle are 45° and 65°. What is the third angle?
- 60°
- 65°
- 70°
- 75°
A number is increased by 25% and becomes 500. What was the original number?
- 375
- 400
- 425
- 450