Lagos State Primary 6 Placement Test Past Questions

Practice Questions For Placement Examination Lagos State

1. (25 × 4) – 30 = ____
   • a) 60
   • b) 70
   • c) 80
   • d) 90
2. 56 ÷ 8 + 14 = ____
   • a) 18
   • b) 20
   • c) 21
   • d) 22
3. 8² – 6 × 3 = ____
   • a) 34
   • b) 36
   • c) 38
   • d) 40

4. What is the area of a rectangle with length 10 cm and width 6 cm?
   • a) 60 cm²
   • b) 66 cm²
   • c) 72 cm²
   • d) 80 cm²
5. The perimeter of a square with side length 7 cm is ____
   • a) 21 cm
   • b) 28 cm
   • c) 35 cm
   • d) 42 cm

6. Solve for x: 2x + 5 = 15
   • a) 2
   • b) 3
   • c) 5
   • d) 10
7. If y – 3 = 9, then y = ____
   • a) 6
   • b) 9
   • c) 12
   • d) 15

Word Problems

8. If a book costs ₦120 and a pen costs ₦45, how much will 3 books and 2 pens cost?
   • a) ₦375
   • b) ₦450
   • c) ₦465
   • d) ₦480
9. A farmer has 50 oranges. He gives 12 to his friend and sells 15. How many oranges are left?
   • a) 23
   • b) 28
   • c) 33
   • d) 35

Simple Interest

10. What is the simple interest on ₦2000 for 3 years at a rate of 5% per year?
    • a) ₦200
    • b) ₦250
    • c) ₦300
    • d) ₦350

Prime Numbers

11. Which of the following is a prime number?
    • a) 21
    • b) 23
    • c) 25
    • d) 27
12. How many prime numbers are there between 1 and 10?
    • a) 2
    • b) 3
    • c) 4
    • d) 5

Multiples of Numbers

13. What is the least common multiple (LCM) of 4 and 5?
    • a) 10
    • b) 15
    • c) 20
    • d) 25
14. What is the highest common factor (HCF) of 18 and 24?
    • a) 2
    • b) 3
    • c) 6
    • d) 12

Roman Figures

15. What is the Roman numeral for 50?
    • a) L
    • b) M
    • c) D
    • d) V
16. Convert the Roman numeral XXIV to Arabic numeral.
    • a) 24
    • b) 26
    • c) 28
    • d) 30

Theory Questions

1. Calculate the area and perimeter of a rectangle with length 12 cm and width 8 cm.
2. Simplify the expression: 3x + 2x – 5 and solve for x if 5x = 20.
3. A man buys a bicycle for ₦15,000 and sells it for ₦18,000. Calculate the profit and the profit percentage.
4. If the simple interest on ₦2500 for 2 years is ₦500, find the rate of interest per year.
5. Write the first 10 multiples of 7.
6. List all prime numbers between 20 and 50.
7. Convert 198 to Roman numerals.
8. Two numbers are 48 and 60. Find their highest common factor (HCF).
9. Solve for y: 5y – 3 = 2y + 9.
10. A tank holds 250 liters of water. If water is added at the rate of 15 liters per minute, how many minutes will it take to fill the tank completely from empty?

Additional Theory Questions

1. Find the area of a triangle with a base of 10 cm and a height of 6 cm.
2. A rectangle has a perimeter of 36 cm. If its length is 10 cm, what is its width?
3. If 5 pens cost ₦200, how much does one pen cost?
4. Solve for x: 3×4=9\frac{3x}{4} = 943x​=9.
5. Find the volume of a cube with a side length of 4 cm.
6. Convert the fraction 710\frac{7}{10}107​ to a percentage.
7. A shopkeeper bought 15 books for ₦1800. How much did each book cost?
8. The sum of two numbers is 56, and their difference is 12. What are the two numbers?
9. Find the smallest number that is a multiple of both 6 and 8.
10. If a car travels 60 km in 1 hour, how far will it travel in 4 hours at the same speed?
11. Calculate the simple interest on ₦8000 for 5 years at an interest rate of 4% per year.
12. If 3 apples cost ₦90, how much will 12 apples cost?
13. A triangle has angles of 50° and 60°. What is the measure of the third angle?
14. If the sum of three consecutive numbers is 42, what is the middle number?
15. Find the HCF of 30 and 45 using prime factorization.
16. Convert the Roman numeral LXXXV to an Arabic numeral.
17. A piece of cloth is 8 meters long. If it is cut into 4 equal pieces, how long is each piece?
18. Calculate the area of a circle with a radius of 7 cm. (Use π ≈ 3.14)
19. If a book is sold for ₦150 and it makes a 20% profit, what was the cost price of the book?
20. Solve for y: $4y+8=32$.
21. Find the median of the following numbers: 12, 7, 10, 15, 9.
22. A right-angled triangle has a base of 6 cm and a height of 8 cm. Find the length of the hypotenuse.
23. What is the difference between the largest and smallest prime numbers between 10 and 30?
24. Find the LCM of 9 and 12.
25. How many degrees are in the sum of the angles of a hexagon?
26. If a bottle contains 250 milliliters of juice and is filled with 5 bottles, what is the total volume?
27. Convert 0.75 to a fraction in its simplest form.
28. Calculate the total cost of 7 items each priced at ₦125.
29. A rectangular garden is 20 meters long and 15 meters wide. Find its perimeter.
30. Find the value of x if 3(x−2)=12