Last minute praparation of annual exam : class seven math
Mathematics
Time:3 hours Class: 7 Full Marks: 100
Section A: Objective (25 Marks)
Multiple Choice Questions:(Write the correct answer on the answer sheet) 1 × 15 = 15
1. What is the symbol or notation used to form numbers called?
(a) Letter
(b) Digit
(c) Word
(d) None of the above
2. What bit is used to represent a mass of 16 grams?
(a) 2
(b) 4
(c) 5
(d) 6
3. Which of the following does not exist in a circle?
(a) Center
(b) Vertex
(c) Circumference
(d) Radius
4. π (pi) is a letter from which country?
(a) Greece
(b) Egypt
(c) China
(d) Italy
5. In the expression xy, each of x and yis called:
i. Factor
ii. Multiplier
iii. Multiplicand
Which of the following is correct?
(a) i and ii
(b) ii and iii
(c) i and iii
(d) i, ii, and iii
6. A box with a volume of \[ xyp \] cubic meters has a length and width of \[ x \] meters and \[ y \] meters, respectively. What is the height of the box?
(a) \[ xy \] meters
(b) \[ xp \] meters
(c) \[ yp \] meters
(d) \[ p \] meters
7. Which of the following objects is not cylindrical in shape?
(a) Pen
(b) Pencil
(c) Brick
(d) Tubelight
Refer to the provided diagram for questions 8 and 9:
8. What does the above diagram represent?
(a) Rectangle
(b) Parallelogram
(c) Rhombus
(d) Trapezium
9. What is the area of the object in the diagram?
(a) \[ \frac{1}{2} \] (AB + CD) × DF
(b) \[ 2 (AB + CD) \times DF \]
(c) \[ \frac{1}{2} \] (AD + BC) × DF
(d) \[ 2 (AD + BC) \times DF \]
10. In the equation \[ 3x^2 – 4x + 5 = 0 \], what are the coefficients of \[ x^2 \], \[ x \], and the constant term, respectively?
(a) \[ 3, -4, 5 \]
(b) \[ -3, 4, 5 \]
(c) \[ 3, 4, -5 \]
(d) \[ 3, -4, 5 \]
11. To transform \[ x + 2 = 7 \] into the equation \[ 3x + 6 = 21 \], which of the following operations is performed on both sides?
(a) Add 3 to both sides
(b) Subtract 3 from both sides
(c) Multiply both sides by 3
(d) Divide both sides by 3
12. If \[ x = a \], which condition must hold for \[ \frac{x}{b} = \frac{a}{b} \]?
(a) \[ b = 0 \]
(b) \[ b \neq 0 \]
(c) \[ b < 0 \]
(d) \[ b > 0 \]
13. Anika’s weight is 45 kg. In the language of statistics, what would you call this?
(a) Sentence
(b) Statement
(c) Information
(d) Data
14. Which of the following would you consider as discrete data?
(a) Number of wheels on a bicycle
(b) Demand
(c) Weight
(d) Intelligence
15. What is the width of the bars in a bar chart?
(a) Equal to class interval
(b) Equal to range
(c) Arbitrary
(d) Equal to frequency
Answer in one word: 1×10=10
16. What is the two-base number system called?
17. If the number of sides of a polygon is infinite, what will be the number of vertices?
18. What approximate value of \[ \pi \] is used for everyday calculations?
19. Write the factored form of \[ x^2 – x – 2 \].
20. If the diagonals of a rhombus are \[ 5 \] cm and \[ 6 \] cm, what is its area in square cm?
21. How many identical parallel plane surfaces are there in a rectangular prism?
22. According to which rule of equations can \[ \frac{5x}{2} = \frac{15x}{7} \] be written as \[ 35x = 30 \]?
23. If \[ 5x = 50 \], what is the value of \[ x \]?
24. Which type of data can be counted separately?
25. What is the difference between the maximum and minimum values of a dataset called?
Section B: Short and Descriptive (75 Marks)
1. Answer the following questions: 2×13=26
(a) What is the binary representation of the decimal number 13?
(b) 
What decimal number do the cards represent?
(c) Find the area of a circle if its diameter is 6 cm.
(d) Find the area of a circle if its radius is 2 cm.
(e) Determine the GCD of \[ xy – y \], \[ x^3y – xy \], and \[ x^2 – 2x + 1 \].
(f)
The length of rectangle ABCD is (x+4) meters, and its area is \[ x^2 + 7x + 12 \] square meters. Find the width of the rectangle.
(g) If the radius of a cylinder is 2 units and its height is 3 units, what is the volume of the cylinder?
(h) The radius of a capsule-shaped medicine is 8 mm, and its height is 24 mm. Find the surface area of the capsule.
(i) The length of a pond is 8 meters more than its width, and its area is 105 square meters. Form an equation using the given information.
(j) Rafiq and Jabbar are friends. Jabbar’s weight is 15 kg more than Rafiq’s weight. If Jabbar’s weight is 55 kg, what is Rafiq’s weight?
(k) The weights (in kg) of 15 students in a class are as follows: 42, 45, 48, 48, 50, 57, 55, 50, 49, 52, 53, 52, 44, 59, 41. Determine the range of the students’ weights.
(l) Determine the actual class boundaries for the classes: 30–40, 35–39, … 60–64.
(m) The weights (in kg) of members from several families are as follows: 30.2, 8.5, 11.6, 45, 32.8, 65.3, 38.4, 48.6, 55.5, 26.9, 40.8, 17.6, 22.3, 68.2, 48.5, 56, 62, 36.4, 67.3, 52.8.
Create a frequency distribution table for the given data, assuming 6 classes.
Descriptive Questions (Scene-Based):Answer 7 out of 10 questions. Each question is worth 7 marks) 7 × 7 = 49
2.Roni learned about different number systems in his ICT class. Based on this knowledge, his sister’s age in binary is 10101, and his age in decimal is 25.
(a) What is an algorithm? 1
(b) Express Roni’s sister’s age in decimal using cards. 4
(c) Express Roni’s age in binary using bulbs, and determine the number of bits. 2
3. The figure shows two concentric circles. The smaller
circle contains an inscribed right triangle OAB with an area of 18 square meters.
(a) Using the concept of the area of the triangle, find the radius of the circle. 3
(b) Find the area of the smaller circle. 2
(c) Find the area of the larger circle. 2
4. In two circles, the circumference of the first circle is 12.56 cm, and the area of the second circle is 78.5 square cm.
(a) What is the circumference of a circle? 1
(b) What is the radius of the first circle? 3
(c) Find the diameter of the second circle. 3
5.
(a) What is the GCD? 1
(b) Find the length and width of the rectangle mentioned in the prompt. 2
(c) If the length of the given rectangle is reduced by 1 unit and the width is doubled, determine how this change affects the perimeter of the rectangle. 4
6. The length of a piece of paper is 20 cm, and its width is 16 cm. The paper is folded to create an open box with a height of 2 cm.
(a) How would you determine the volume of the box? 3
(b) Find the surface area of the box. 4
7. The dimensions of a wooden box are 10 cm in length, 9 cm in width, and 7 cm in height.
(a) What is the volume of the box? 3
(b) What is the total surface area of the box? 4
8. Rahat and Rezwan selected two numbers such that their sum is 31. Rahat’s selected number is 1 more than twice Rezwan’s selected number. They keep their selected numbers secret. Rahat mentioned that the difference between their selected numbers is 11.
(a) Find the numbers chosen by Rahat and Rezwan. 3
(b) Do you agree with Rahat? Justify your answer with reasoning. 2
(c) Find a number that is 5 less than three times Rahat’s number. 2
9. The length of a rectangle is 3 meters more than its width, and the area of the rectangle is 10 square meters. It costs 100 Taka per meter to fence around the rectangle.
(a) Based on the prompt, form an equation and write it in standard form. 2
(b) Find the length of the rectangle. 2
(c) Calculate the total cost of fencing around the rectangle. 3
10. The table below provides information on the ages of people in several families:
(a) Determine the actual class boundaries for the frequency distribution table. 3
(b) Draw a histogram based on the frequency distribution table. 4
11. A person’s monthly income is 50,000 Taka. His expenses in various sectors are shown in the following diagram:
(a) What is the name of this diagram? What is its central angle? 1
(b) Can you draw this diagram in your notebook? How would you draw it? 3
(c) Can the information in the diagram be presented in another way? 3
