Class 8 math final preparation for annual exam
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Time: 3 hours Class Eight Full Marks: 100
Section A Objective 25 Marks
Multiple Choice Questions
Write the correct answer in the answer sheet 1 × 15 = 15
1. Which of the following shapes does not have a dimension of two?
(a) Rhombus
(b) Triangle
(c) Parallelogram
(d) Cube
2. How many dimensions does a classroom have?
(a) 4
(b) 3
(c) 2
(d) 1
3. School banking is ——
i. Encouraging students for future development through small savings
ii. Depositing small amounts in the bank to earn regular profit
iii. Students will perform banking duties
Which of the following is correct
(a) i and ii
(b) i and iii
(c) ii and iii
(d) i ii and iii
4. At 12% simple interest in how many years will the interest equal four times the principal?
(a) 15
(b) 20
(c) 25
(d) 30
5. Which symbol represents compound capital?
(a) A
(b) M
(c) P
(d) I
6. What is the vertical number line on graph paper called …………..
(a) x-axis
(b) y-axis
(c) Crore
(d) Arm
7. In which quadrant does the point (1, -4) lie?
(a) First
(b) Second
(c) Third
(d) Fourth
Class eight math final preparation: part 2
8. What is the numerical value of the difference between the ordinates of points (-1, 2) and (-3, 6)?
(a) -4
(b) 2
(c) 3
(d) -3
Answer questions 9 and 10 based on the following diagram
9. What is the radius of the circle?
(a) 10 units
(b) 8 units
(c) 5 units
(d) 9 units
10. What is the length of the tangent AN?
(a) 13 units
(b) 5 units
(c) 10 units
(d) None of these
11. Which of the following is constructed using Boolean Algebra?
(a) Mobile Phone
(b) Computer
(c) Abacus
(d) Calculator
12. What is the part to the right of the Radix point in the number 2024×1952 called?
(a) Fractional Part
(b) Integral Part
(c) MSB
(d) LSB
13. What type of data is obtained from newspapers or any periodical?
(a) Primary Data
(b) Secondary Data
(c) Direct Data
(d) Information
14. If the highest value of the data set is 57 and the range is 37 what is the lowest value of the data set?
(a) 21
(b) 22
(c) 23
(d) 27
15. If the upper limit of a class is 65 and the median is 62.5 what is the lower limit of the class?
(a) 50
(b) 55
(c) 56
(d) 60
Answer in One Word 1 × 10 = 10
16. How many dimensions does a rectangle have?
17. If a binomial has two variables what is it called?
18. What can be the rate of profit?
19. What is the simple interest on 100 taka at 7% for 2 years?
20. What is the intersection point of the x-axis and y-axis called?
21. What will be the signs of abscissa and ordinate in the first quadrant?
22. What is the larger segment called when a cone is divided into two unequal parts?
23. Who first represented 0 and 1 as false and true?
24. What is the branch of knowledge that collects? and analyzes data to help make effective decisions called?
25. What is the prerequisite for accurate data processing?
Section B: Short and Descriptive (75 Marks)
1. Answer the following questions: 2 × 13 = 26
(a) Identify the binomials with one variable and two variables from 3x + 5 and 2x + 3y.
(b) Find the LCM of 2x²y, 3x²y, and 6x³y.
(c) What will be the compound capital of 20,000 taka at a rate of 7% over 5 years?
(d) What should the initial capital be if the compound capital is 20,000 taka at a rate of 13% over 5 years?
(e) How much profit will Tanzila earn if she invests 30,000 taka for 5 years at a rate of 8%?
(f) Determine the equation of a line with a slope of -2 that passes through the point (4, -5).
(g) Can a triangle be formed by the points (-1, -1), (0, 1), and (2, 5).
(h) If PQ = 30 cm, then what is RS?
(i) AB and CD are two parallel chords with AB = CD = 10 cm, and the chords AB and CD are 8 cm apart. What is the diameter of the circle?
(j) Convert the binary number 100011 to a decimal number?
(k) Convert 34 ÷ 17 in decimal to binary and then perform the division.
(l) Observe the following table
| Age (years) | 41-45 | 46-50 | 51-55 | 56-60 | 61-65 |
| Population | 12 | 15 | 25 | 18 | 10 |
Calculate the arithmetic mean of the data using the shortcut method.
(m) The ages of 25 people in a village are given as follows
44, 50, 22, 17, 15, 54, 48, 26, 24, 21, 38, 46, 32, 37, 38, 20, 40, 34, 10, 19, 13, 24, 33, 57, 36
Create a frequency distribution table for the given data.
Descriptive Questions (Scenario-Based) Answer 7 out of the following 10 questions Each question carries 7 marks 7 × 7 = 49
2. Given three algebraic expressions: 45x³, 60x²y, 15x²y²
(a) Determine the LCM of the three expressions. 2
(a) Determine the GCD of the three expressions. 2
(b) Subtract the GCD from the LCM and divide. the result by 15x² Then, find the cube of the quotient 3
3.
(i) p² + 2p, 2p⁴ + 3p³ – 2p², 2p³ – 3p² – 14p.
(ii) 8p³q, 16p²q², 12pq⁴ .
(a) Find the LCM of the expressions in (i) 4
(b) Find the HCF of the expressions in (ii) 3
4. An amount of 75,000 taka is deposited in a bank for 5 years at an interest rate of 8%
(a) What is the simple interest? 2
(b) What is the compound interest? 3
(c) What is the difference between the simple interest and the compound interest? 2
5. In compound interest, a principal grows to 19,500 taka after one year and to 20,280 taka after two years
(a) Determine the principal amount. 3
(b) Calculate the difference between the simple interest and compound interest for this principal at the same rate after three years. 4
6. Points A(3, -6), B(-6, -2), C(-2, 6), and D(8, 4) are four points lying in the same plane
(a) Find the distance between points B and C. 3
(b) If the distance from point P(x, y) to the x-axis is equal to the distance from point P to point A, show that x² – 6x + 12y + 45 = 0. 4
7. The vertices of a quadrilateral are A(-a, 0), B(0, -a), C(a, 0), and D(0, a)
(a) Show that the quadrilateral is a square. 4
(b) Find the area of the quadrilateral. 3
8. In the diagram, O is the center of the circle, and TA and TC are two tangents ∠ATC = 60°
(a) From the given information, find the value of x. 2
(b) Show that y = 120° based on the given information. 2
(c) Prove that the value of z is equal to 30°. 3
9. Rakim and Baizid are both students in the class eight Rakim writes two decimal numbers 76543 and 5691 while Baizid writes two binary numbers (101101)₂ and (11011)₂
(a) Convert 2222 to binary. 2
(b) Subtract Rakim’s two numbers without using a calculator. 2
(c) Using complements find the result of subtracting Baizid’s two numbers. 3
10. The heights (in cm) of 40 eighth-grade students are as follows
90, 140, 97, 125, 97, 134, 97, 97, 110, 125, 110, 134, 110, 125, 110, 140, 125, 134, 125, 125, 134, 110, 125, 97, 125, 110, 125, 97, 134, 125, 110, 134, 125, 134, 90, 140, 148, 148, 110, 125
(a) Arrange the data in ascending order. 2
(b) Arrange the data in descending order. 2
(c) Calculate the average height of the students. 3
11. The frequency distribution table of math scores for 80 students is given below
| Class Interval | 31-40 | 41-50 | 51-60 | 61-70 | 71-80 | 81-90 | 91-100 |
| Scores | 6 | 12 | 16 | 24 | 12 | 8 | 2 |
(a) Create a continuous class interval. 3
(b) Draw a histogram and mark the frequency polygon. 4
