Class 8 math annual exam preparation – model 6
Part A: Objective Part (Multiple Choice Questions)
[NB.: Write the correct or best answer in your answer script (question no. 1-15), each question carries 1 mark.]
Marks: 1 × 15 = 15
1. Which of the following is a monomial expression with two variables?
a) 2x b) 6y – x c) x² – y d) 4xy
2. If the edge of a cube is 3 meters, how many smaller cubes of 1 meter edge can be placed inside the larger cube?
a) 1 b) 3 c) 9 d) 27
3. What are the types of profits?
a) Two b) Three c) Four d) Five
4. What is the compound profit of Tk. 500 in 2 years if the rate of profit is 5% per annum?
a) Tk. 512.5 b) Tk. 51.25 c) Tk. 50.75 d) Tk. 50.25
5. The coordinate of the point A is (-4, 2). In which quadrant does the point A lie?
a) 1st b) 2nd c) 3rd d) 4th
6. What is the abscissa of the midpoint of (-4, 0) & (6, 0)?
a) 1 b) 2 c) 1/2 d) -5
7. The line connecting two points inside and outside a circle cuts the circle in how many points?
a) 4 b) 3 c) 2 d) 1
8. 
If ∠ADB = 50° in the adjacent figure, then x = ?
a) 40° b) 45° c) 50° d) 100°
9. What is the place value of the third digit from the left of the number (1011)₂?
a) 1 × 2¹ b) 1 × 2³ c) 1 × 2² d) 1 × 2⁰
10. What is the decimal form of (101101)₂?
a) (89)₁₀ b) (59)₁₀ c) (45)₁₀ d) (39)₁₀
11. What is the range of the numbers 21, 24, 18, 10, 6, 23, 30?
a) 9 b) 10 c) 24 d) 25
12. For which graph do we need to determine the actual class limits?
a) Histogram b) Pie chart c) Frequency polygon d) Line graph
Class 8 math annual exam – model 5
13. The quadrilateral PQRS is inscribed in the circle. If ∠P = 75°, its opposite angle ∠R = ?
a) 15° b) 45° c) 105° d) 180°
14. How is the 10’s complement of a number ‘a’ denoted?
a) aⁿ b) a* c) aⁿ’ d) a**
15. Which of the following is among the prime numbers between 30 and 75?
a) 47 b) 53 c) 59 d) 61
Answer in one word:
16. What is the common factor of x – 2, x² – 4, and xy – 2y?
17. A product was bought for 8000 taka and sold at a loss of 500 taka. What was the selling price?
18. What is assumed to be the coordinate of origin?
19. How many times is the inscribed angle of its central angle on the same arc of a circle?
20. Express (38)₁₀ in binary form.
21. How many measures of central tendency are there?
22. What is the circle touching the three sides of the triangle called?
23. What will be the base if the digits 0, 1, 2, and 3 are used in a number system?
24. What is the mode of the following data series?
10, 13, 19, 11, 13, 12, 12, 13, 15, 17, 18, 19, 13, 20.
25. What is the equation of any straight line that is parallel to the y-axis and located 2 units away to the left?
1. Answer the following questions:
a. The height of a rectangular solid is 3 cm greater than its length, and its length is 2 cm greater than its width. If the solid has a width of b cm, what is its volume?
b. Determine the cube of 397 with the help of the formula.
c. Riya deposited Tk. 32,000 at 5% and Meem deposited Tk. 28,000 at 7% in the bank. Who will benefit more after 7 years?
d. Find the simple profit of Tk. 7000 at the rate of 5% per annum in 3 years.
e. A quadrilateral is made by joining the points A(5, 4), B(-1, 1), C(2, -1), and D(0, 3). Determine the area of the quadrilateral.
f. If the distance between (1, a) and (5, -6) is 2√5, then find the value of a.
g. Find the value of X from the figure.
h. Determine the length of the arc that produces 60° angles at the center of the circle with a radius of 4 cm.
i. Multiply (100011)₂ by (111.11)₂.
j. Find 9’s complement and 10’s complement of 6 and 104 relative to 999.
k. Determine the class deviation of the 5th class:
Class Interval 36–40 41–45 46–50 51–55 56–60 61–65
79101734
l. Determine the median of the given data:
Obtained Marks 60 62 70 78 82 85
Number of Students 5 7 10 12 7 4
m. The gradient of a hill is -4, and there is a road to climb the hill. If the road passes through the point (-3, -2), determine the equation of the road.
Solve the following questions
2. a⁴ + a²b² + b⁴, a³ – 3a² – 10a, a³ + 6a² + 8a, and a⁴ – 5a² – 14a² are four algebraic expressions.
a. Express the 1st expression into factors. [2 Marks]
b. Find the H.C.F. of the 2nd and 3rd expressions. [3 Marks]
c. Find the L.C.M. of the 2nd, 3rd, and 4th expressions. [2 Marks]
3.Roni initially prepared a piece of land for planting flower seeds. Then he prepared another piece of land for planting fruit seeds. The length of the second piece of land is equal to the sum of three times the length of the first piece of land and twice the width. The width of the second piece of land is 6 feet less than its length. By measuring, it was found that the semi-perimeter of the first piece of land is 5 feet, and the difference between the areas of the two pieces of land is 85 square feet.
a. Write the formula for finding the area of a rectangle.
b. Find the algebraic expression of the area of the 2nd land.
c. Find the length and width of the two pieces of land.
4.A product was sold at a loss of 9%. If the product was sold at a higher price of Tk. 720, the profit would have been 9%. Again, the interest of 3 years of a principal is 200 taka less, and the profit of 5 years is 100 taka less than the principal.
a. What does 9% loss mean? [1 Mark]
b. What is the purchase price of the product? [2 Marks]
c. What is the rate of interest and principal? [4 Marks]
5.A person deposited Tk. 6000 in a bank at the rate of profit Tk. 10 per annum for 3 years.
a. Determine the profit-principal at the end of 1st year. [2 Marks]
b. Determine the difference between simple profit and compound profit. [3 Marks]
c. In how many years will the profit-principal be 1.5 times the given principal at the same profit rate? [2 Marks]
6.A(7, 2), B(-4, 2), C(-4, -3), and D(7, -3) are the vertices of the quadrilateral ABCD.
a. Find the equation of line AB. [2 Marks]
b. If the point P(t, 2t) is equally distant from points A and B, then find the value of t.
c. Show that the quadrilateral ABCD is a rectangle. [3 Marks]
7.The point of intersection between two lines 3x – y – 4 = 0 and 3x + y – 10 = 0 is A, and the two lines intersect the X-axis at two points B and C.
a. Find the slope of the two lines. [1 Mark]
b. Determine the coordinate of the point A. [3 Marks]
c. Find the area of △ABC. [3 Marks]
8.In a circle with center P, CD is a chord that is different from the diameter, PC = 7 cm, and PQ ⊥ CD.
a. Draw a proportional diagram in light of the given information. [1 Mark]
b. Determine the area of the circle. [2 Marks]
c. Prove that CQ = DQ. [4 Marks]
9.The teacher brought to the class a diagram of a puzzle. Observe the puzzle:
Diagram of a circle enclosing a square with side √2 inches.
10. Given A = (999)₁₀ and B = (781.625)₁₀:
a. What is the place value of MSB (Most Significant Bit) in the number? [1 Mark]
b. Express the number A in binary. [2 Marks]
c. What will be the binary form of B? Show it. [4 Marks]
11.The data of the heights of some students in a class is given below:
128, 109, 148, 145, 95, 112, 127, 134, 99, 115,143, 115, 122, 102, 96, 133, 139, 125, 113, 117,145, 131, 139,105, 101, 122, 108, 95, 118, 132,122, 112, 96, 115, 142, 122, 137, 129, 141, 103,138, 115, 104, 108, 143, 117, 119, 98, 112, 145
a. Make a distribution table from the given data, taking 5 as the class interval, and express the frequency with tally marks. [3 Marks]
b. Determine the mean by the shortcut method. [3 Marks]
