Class seven math annual exam last minute preparation
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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. What is the full form of ‘Bit’?
(a) Binary
(b) Binary Digit
(c) Digit
(d) Built in Technology
2. If the number of bits is ‘n’, the dot count on the leftmost card is ——-
(a) \[ 2^{n – 1} \]
(b) \[ 2^n – 1 \]
(c) \[ 2^n \]
(d) \[ 2^{n + 1} \]
3. Who first used pi?
(a) Isaac Newton
(b) Archimedes
(c) William Jones
(d) Srinivasa Ramanujan
4. In which year was Pi Day recognized in the United States?
(a) 2004
(b) 2007
(c) 2006
(d) 2009
5. Which of the following are factors or divisors of 12?
i. 1, 2, 3
ii. 4, 6, 12
iii. 3, 6, 9
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 \[ xz \] called in relation to \[ x \] or \[ z \]?
(a) Factor
(b) Multiplier
(c) Product
(d) Divisor
7. Which of the following is not a property of a rectangle?
(a) Length
(b) Width
(c) Height
(d) Area
Answer questions 8 and 9 based on the following diagram:
8. What is the total surface area of the cube in the diagram?
(a) 16 square units
(b) 48 square units
(c) 96 square units
(d) 64 square units
9. What is the volume of the cube in the diagram?
(a) 96 square units
(b) 96 cubic units
(c) 64 square units
(d) 64 cubic units
10. If both sides of the equation \[4x + 4 = 8\] are divided by 4, what will the resulting equation be?
(a) \[x + 1 = 2\]
(b) \[2x + 1 = 2\]
(c) \[2x + 2 = 1\]
(d) \[x + 2 = 1\]
11. How much should be subtracted from both sides of the equation \[ x + 5 = 10 \] to find the solution of the equation?
(a) 5
(b) 10
(c) 15
(d) 20
Class seven math annual exam preparation part 2
12. What is the process called to obtain the equation \[ 3x = 15 + 7 \] from \[ 3x – 7 = 15 \]?
(a) Cross-multiplication rule
(b) Symmetry rule
(c) Transposition rule
(d) Subtraction of addition rule
13. What is the term for data that can be expressed by numerical values?
(a) Quantitative data
(b) Qualitative data
(c) Descriptive data
(d) Discrete data
14. What is another name for qualitative data?
(a) Numerical data
(b) Quantitative data
(c) Descriptive data
(d) Continuous data
15. Rafiq’s height is 4.5 feet. In statistical terms, what would you call 4.5?
(a) Number
(b) Information
(c) Data
(d) Digit
One-Word Answer: 1 × 10 = 10
16. Which two digits can various devices recognize?
17. What approximate value of \[ \pi \] did Archimedes determine?
18. How is the date written in the United States?
19. A number that can completely divide another number is called what?
20. How many sides does a quadrilateral have?
21. What is the formula for the circumference of a circle?
22. If 2 is added to both sides of the equation \[ x + 2 = 6 \], what will the equation be?
23. What will be the result if the equation \[ 5(x + 3) = 10 \] is divided by 5?
24. When data is represented numerically, what is that number called?
25. What is data called that cannot be represented by numerical values?
Section B: Short and Descriptive (75 marks)
1. Answer the following questions: 2 × 13 = 26
(a) Convert the binary number 1101 to decimal.
(b) Convert the binary number \[(01111)_2\] to decimal.
(c) Calculate the area of a circle with a circumference of \[314.16\] mm.
(d) Calculate the area of a circle with a radius of 5 cm.
(e) Factorize the expression \[5a^2b^2 + 9a^4b^2\] using a diagram.
(f) Find the LCM of \[6a^3b^2c\] and \[9a^4bd^2\].
(g)
Calculate the area of a trapezium.
(h) If a cylinder has a radius of 2 units and a height of 3 units, what is the volume of the cylinder?
(i) The area of the floor of a rectangular room is 132 square meters. If the length of the floor is reduced by 6 meters and the width is doubled, the area remains unchanged. Find the length and width of the room’s floor.
(j) If twice a number is added to 5, the sum is 25. Form an equation and find the number.
(k) What is quantitative data? List the types of quantitative data.
(l) The heights of 20 classmates are as follows:
128, 125, 130, 135, 140, 129, 128, 134, 148, 140, 150, 155, 152, 140, 128, 130, 140, 142, 145, 147
Create a frequency distribution table for the given heights.
(m) The weights (in kg) of the members of Angel, Sumit, Nipa, and Minty Kosta’s 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
Determine the class intervals for the given data.
Descriptive Questions (Scenario-Based): Answer any 7 out of 10 questions. Each question carries 7 marks) 7 × 7 = 49
2. Keya has 4 cards. She wants to use these cards to make binary numbers from decimal.
(a) How will Keya determine the decimal number ‘8’ in binary using the cards? 3
(b) Using the 4 cards, what is the highest decimal number Keya can determine? 4
3.
Mitu cuts a circular area into 64 equal parts and arranges the pieces into a geometric shape that resembles a rectangle, as shown in the figure.
(a) Determine the radius of the circular area. (3 marks)
(b) Calculate the area of the rectangle. (4 marks)
4. A pair of pizzas with a diameter of 35 cm costs 300 Taka, and a set of three pizzas with a diameter of 30 cm costs 350 Taka. The height of both packages of pizzas is the same.
(a) What is the circumference of each pizza in package (i)? (2 marks)
(b) Determine the total circumference of the 3 pizzas in package (ii). (2 marks)
(c) Which package would be more cost-effective? (3 marks)
5. \[x^2 – 3x – 10\] and \[x^2 – 10x + 25\] are two algebraic expressions.
(a) Factorize both expressions. (3 marks)
(b) Find the HCF and LCM of the two expressions given in the prompt. (4 marks)
6. The outer dimensions of a rectangular box are 8 cm, 6 cm, and 4 cm. The area of the inner surface is 88 square cm. The thickness of the wood inside is uniform.
(a) What is the volume of the box? (3 marks)
(b) Can you determine the thickness of the wood? (4 marks)
7. The radius of a cylinder is 5 cm.
(a) If the height of the cylinder equals the length of the box, what is the total surface area of the cylinder? (3 marks)
(b) If the height of the cylinder equals the width of the box, calculate its volume. (4 marks)
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 marks)
(b) Determine how much money each of them has. (2 marks)
(c) Verify the accuracy of the solution obtained in (b). (3 marks)
9. The equation \[ -5x + 6 = -x^2 \] is a quadratic equation in one variable.
(a) Rewrite the equation in standard form and find the values of \[ a \], \[ b \], and \[ c \]. (3 marks)
(b) Solve the given equation. (4 marks)
10. The weights (in kg) of 25 students are as follows:
45, 40.5, 32.8, 35, 42, 48, 52, 54, 47, 38, 52, 36.6, 34.5, 47.5, 38.5, 41, 37, 36, 43, 35.4, 46.2, 48.5, 36.2, 28.5, 30.4
(a) What is the range of the data? (2 marks)
(b) Present the data in a frequency distribution table. (2 marks)
(c) Represent the data with a histogram and make a comment. (3 marks)
11. The following table shows the marks obtained by students in a weekly math test:
| Marks Range | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 |
|---|
| No. of Students | 3 | 7 | 12 | 6 | 2 |
(a) What is the total number of students in the class? (1 mark)
(b) How many students scored less than 20? (3 marks)
(c) How many students scored 20 or more but less than 40? (3 marks)
