Annual exam final preparation class 7 math
Time: 3 hours Class: 7 Full Marks: 100
Section A: Objective (25 Marks)
Multiple-Choice Questions: (Write the correct answer in the answer script) 1 × 15 = 15
1. How many signals are there in the machine counting system?
(a) Three
(b) Two
(c) Five
(d) Four
2. When determining binary numbers using cards, what is each card used as?
(a) Bit
(b) Number
(c) Byte
(d) Character
3. What is the distance from the center of a circle to its
called?
(a) Diameter
(b) Radius
(c) Chord
(d) Arc
4. In which century did a new approximation for the value of π emerge?
(a) Nineteenth
(b) Twentieth
(c) Twenty-first
(d) Eighteenth
5. What are the factors of (3x + 12)?
i. 3
ii. x + 3
iii. x + 4
Which of the following is correct?
(a) i and ii
(b) ii and iii
(c) i and iii
(d) i, ii, and iii
6. What is the product of the common prime factors of two or more quantities called?
(a) GCD
(b) LCM
(c) Common Factor
(d) Lowest Common Multiple
7. How many sides does a quadrilateral have?
(a) 1
(b) 2
(c) 3
(d) 4
8. If the lengths of the diagonals of a rhombus are 24 cm and 18 cm respectively, what is its area in square centimeters?
(a) 84
(b) 108
(c) 216
(d) 432
9. The total surface area of a cube is 96 square meters. What is the length of its space diagonal in meters?
(a) \[16\sqrt{3}\]
(b) \[16\sqrt{2}\]
(c) \[4\sqrt{3}\]
(d) \[4\sqrt{2}\]
Read the following passage and answer questions 10 and 11:
10. If the height of Keokradong hill is x meters, which of the following represents the given problem as an equation?
i. x + 295 = 1280
ii. x = 1280 – 295
iii. x + 1280 = 295
Which of the following is correct?
(a) i and ii
(b) ii and iii
(c) i and iii
(d) i, ii, and iii
11. What is the height of Keokradong hill?
(a) 980 m
(b) 1575 m
(c) 985 m
(d) 990 m
12. What is the standard form of the equation 4y – 3y(y) = 9?
(a) 3y² + 4y – 9 = 0
(b) -3y² – 4y + 9 = 0
(c) 3y² – 4y – 9 = 0
(d) 3y² – 4y + 9 = 0
13. “The length of Bangladesh’s Padma Bridge is 6.15 km.” This is what type of data?
(a) Qualitative
(b) Discrete
(c) Continuous
(d) Descriptive
14. Continuous data is always ——–
(a) Whole numbers
(b) Fractional numbers
(c) Complex numbers
(d) Both whole numbers and fractional numbers
Class seven math annual exam preparation part 4
15. In a bar graph, what does the height or length of the bars represent?
(a) Class interval
(b) Frequency
(c) Class size
(d) Range
16. What is the highest decimal number that can be formed if there are 5 cards?
17. What is the point called from which all points on a circle are equidistant?
18. On which date is Pi Day celebrated?
19. If the width of a rectangle is 14xy units and its area is \[42xy^3\] square units, what is its length?
20. If the lengths of two adjacent sides of a parallelogram are 7 cm and 5 cm, what is half of its perimeter in cm?
21.
What is the total surface area of the object?
22. A basket contains 60 fruits, including 36 mangoes. How many lychees are there?
23. In the equation \[x^2 + 2x – 12 = 0\], what is the coefficient of x?
24. What type of data represents the total number of students in your classroom?
25. In an ungrouped dataset with the highest value of 90, the lowest value of 35, and a class interval of 5, how many classes are there?
Section B: Short and Descriptive Questions (75 Marks)
1. Answer the following questions: 2 × 13 = 26
(a) How can the word “DAD” be expressed in binary code?
(b) Convert the binary number (01111)₂ into decimal.
(c) Shamim can travel 100 meters in 1 minute. At Shamim’s school, there is a circular playground. He can cross the playground along its diameter in 3 minutes. Calculate the circumference of the playground.
(d) If the diameter of a circle is 5 cm, what is its circumference?
(e)
If the length of the given rectangle is doubled and the width is halved, determine the changes in the perimeter and area of the rectangle.
(f) Find the GCD of \[x^2 + 7x + 12\] and \[x^2 + 9x + 20\].
(g) The dimensions of a cabinet are 2 meters in length, 1 meter in width, and 3 meters in height. Calculate the surface area of the cabinet.
(h) The dimensions of a math book are 26 cm in length, 19 cm in width, and 1.8 cm in height. Calculate the volume of the book.
(i) What is the number, whose double added to 5 gives 25?
(j) The area of the floor of a rectangular room is 24 square meters. The length of the floor is 2 meters more than its width. Determine the length and width of the floor.
(k) What is data? Write the classification of data.
(l) The temperatures (in degrees Celsius) of Dhaka city in May are given below:
20, 18, 14, 21, 11, 14, 12, 10, 15, 18, 12, 14, 16, 15, 12, 14, 18, 20, 22, 9, 11, 10, 14, 12, 18, 20, 22, 25, 22, 14, 25.
Determine the number of classes for the given dataset.
(m) In a match between Bangladesh and Pakistan, the runs scored by 4 players of the Bangladesh team are represented in a pie chart.
If the total runs scored by the 4 players are 270, how many runs did Tamim and Mushfiq score?
Descriptive Questions (Scenario-based): (Answer any 7 out of 10 questions. Each question carries 7 marks) 7 × 7 = 49
2.
16 grams
In the first figure, a mass of 16 grams is shown, and in the second figure, a length of 8 cm is shown.
(a) Convert the decimal number 12 to binary using the mass. (3)
(b) Convert the decimal numbers 11, 15, and 18 to binary using the length. (4)
3.
Mitu cuts a circular area into 64 equal parts. She then arranges the pieces to form a geometric shape resembling a rectangle, as shown in the figure.
(a) Determine the radius of the circle. (3)
(b) Calculate the area of the rectangle. (4)
4. The figure shows two concentric circles. The radii of the two circles are 9 cm and 4 cm, respectively. 
(a) Why are the two circles called concentric circles? (1)
(b) What is the radius of a circle with a circumference of 18.84? (2)
(c) What is the area of the region between the circumferences of the two circles? (4)
5.
\[x^2 + 5x + 6, x^3 + 6x^2 + 8x\], and \[x^4 – 5x^3 – 14x^2\]
(a) What is meant by a common factor? (1)
(b) Determine the GCD of the first two expressions. (3)
(c) Find the LCM of all three expressions. (3)
6. A rectangular garden has a length of 50 m and a width of 30 m. A 3-meter-wide path surrounds the inside of the garden. The cost of fencing the garden perimeter (excluding the path) is 30 taka per meter.
(a) Calculate the area of the path. (3)
(b) Calculate the total cost required to fence the garden perimeter excluding the path. (4)
7. A wooden box has a length, width, and height of 10 cm, 9 cm, and 7 cm, respectively.
(a) What is the volume of the box? (3)
(b) What is the total surface area of the box? (4)
8.Mitu and Ritu have a total of 160 taka. Mitu has 40 taka less than Ritu.
(a) Form an equation based on the given problem. (2)
(b) Determine how much money each of them has. (2)
(c) Verify the solution obtained in (b). (3)
9. The length of a rectangle is 3 meters more than its width, and the area of the rectangle is 10 square meters. The cost of fencing the rectangle is 100 taka per meter.
(a) Write an equation based on the given scenario and express it in standard form. (2)
(b) Calculate the length of the rectangle. (2)
(c) Calculate the total cost of fencing the rectangle. (3)
10. The following table shows the data of people of different ages in a few families:
| Age (Years) | 1 – 10 | 11 – 20 | 21 – 30 | 31 – 40 | 41 – 50 | 51 – 60 | 61 – 70 | 71 – 80 |
|---|---|---|---|---|---|---|---|---|
| Number of People | 8 | 15 | 22 | 28 | 18 | 12 | 10 | 5 |
(a) Determine the actual class limits of the frequency distribution table. (3)
(b) Draw a histogram of the frequency distribution table. (4)
11. A library has books with the following number of pages:
80, 90, 100, 102, 105, 75, 80, 85, 96, 106, 108, 90, 95, 75, 75, 108, 108, 85, 96, 108, 98, 92, 110, 90, 84, 75, 105, 99, 80, 102.
(a) Prepare a grouped frequency table for the data. (3)
(b) Identify the class with the least number of books and the class with the most number of books. (4)
