Class seven math annual exam final preparation
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Time:3 hours
Section A: Objective (25 marks)
Multiple-choice questions (write the correct answer in the answer sheet)
1. What power of two is 16 grams of mass used as?
(a) 2 (b) 4 (c) 5 (d) 6
2. How will the message ‘HI’ be represented in binary?
(a) 1001 1000 (b) 1000 1001 (c) 1011 0100 (d) 0101 0001
3. What is the approximate value of π used for daily calculations?
(a) 3.14 (b) 3.15 (c) 3.16 (d) 3.17
4. In which year was Pi Day first celebrated?
(a) 1890 (b) 1884 (c) 1988 (d) 1992
5. What is the LCM of \[3x^3y^2\] and \[2x^2y^3\]?
(a) \[2x^2y^2\] (b) \[3x^3y^2\] (c) \[6x^2y^2\] (d) \[6x^3y^2\]
6. What are the factors of 9?
(a) 1, 3, 6 (b) 1, 3, 9 (c) 1, 6, 9 (d) 3, 6, 9
7.How many edges does a cube have?
(a) 6 (b) 12 (c) 8 (d) 9
8. What is the dimensionality of volume for an object?
(a) 1 (b) 2 (c) 3 (d) None
9. Which of the following objects does not have a cylindrical shape?
(a) Pen (b) Pencil (c) Can (d) Tube light
10.To solve the equation \[\frac{d}{24} = 20\], what operation must be applied to both sides by 24?
(a) Addition (b) Subtraction (c) Multiplication (d) Division
11. How many roots does the equation \[x^2 + 2x – 24 = 0\] have?
(a) 1 (b) 2 (c) 3 (d) 4
12. How many variables are there in the equation \[2x^2 + x – 10 = 0\]?
(a) 1 (b) 2 (c) 3 (d) 4
13. How would you write five tally marks?
(a) ||||| (b) 3 (c) 8 (d)
14. Which of the following is used to represent statistical data using charts?
(a) Line graph (b) Bar chart (c) Pie chart (d) All of the above
15. Anika’s weight is 45 kg. In statistical terms, what would you call this?
(a) Sentence (b) Statement (c) Data (d) Information
Answer in One Word:
16. What is each light called when determining binary numbers using lights?
17. What represents the ratio of a circle’s circumference to its diameter?
18. In which country was Pi Day first celebrated?
19. What is the common multiple of the terms \[xy\] and \[xz\]?
20. How many dimensions does a rectangle have?
21. What is the volume of a cylinder?
22. If \[x = a\], then what is \[x + b\]?
23. What is the power of the variable in a linear equation?
24. Write the formula to determine the number of classes.
25. What is it called if a statistic is represented as a part of 360°?
Section B: Short and Descriptive (75 Marks)
1. Answer the following questions:
(a) 
Which decimal number do the cards represent?
(b) Convert ‘RAMANUJAN’ into binary code.
(c) Calculate the area of a circle with a radius of 5 cm.
(d) The diameter of a circular pillar in your school building is 3 meters. If the pillar’s circumference is equal to the circumference of a circle, find the circumference of the pillar.
(e) Find the LCM of \[(b^2 – c^2)\] and \[(b + c)^2\].
(f) Determine the LCM of \[a^2 – 7a + 12\], \[a^2 + a – 20\], and \[a^2 + 2a – 15\].
(g) If the edge length of a cubical box is 6.5 cm, calculate the total surface area of the box.
(h) Three metallic cubes have edge lengths of 3 cm, 4 cm, and 5 cm, respectively. The three cubes are melted to form a new cube. Find the volume of the new cube.
(i) The dimensions of a mathematics book are as follows: length = 26 cm, width = 19 cm, and height = 1.8 cm. Calculate the volume of the book.
(j) Form an equation based on the following information: The length of a pond is 8 meters more than its width, and its area is 105 square meters.
(k)Rafiq and Jabbar are two friends. Jabbar’s weight is 15 kg more than Rafiq’s weight. If Jabbar’s weight is 55 kg, what is Rafiq’s weight?
(l)The scores obtained by 30 students of Class 7 in their annual mathematics exam are as follows:
80, 60, 65, 75, 80, 60, 60, 90, 95, 70, 100, 95, 85, 85, 85, 90, 85, 55, 50, 90, 90, 65, 70, 70, 75, 95, 65, 75, 95, 65.
Determine the number of classes for the given data.
(m) The weights (in kg) of members from several families are as follows:
30.2, 8.5, 11.6, 45, 32.8, 35.3, 38.4, 48.6, 55.5, 26.9, 40.8, 17.6, 22.3, 68.2, 48.6, 56, 62, 36.4, 67.3, 52.8.
Create a frequency distribution table for the given data with a class interval of 6.
Descriptive Questions (Context-Based):
(Answer any 7 out of 10 questions. Each question carries 7 marks)
1. During a math lesson, the teacher told student KARIM, who has roll number 2, that his roll number 2 can also be represented as 103. Everyone was surprised. The teacher then increased the base in the number system and mentioned that even their names could be written in this number system if desired.
(a) What is the name of the binary number system? Explain why it’s called this.
(b) Convert the roll number of student with roll 75 into binary.
(c) Determine how the name “KARIM” would be represented in binary.
3.Alongside her studies, Nitu enjoys creating colorful designs on fabric during her leisure time using needle and thread. For this, she uses a circular disc with a radius of 15 centimeters.
(a) What is a circle?
(b) Calculate the circumference of the disc.
(c) Determine the area of the fabric inside the disc.
4. The expressions \[x^2 – 3x – 10\] and \[x^2 – 10x + 25\] are two algebraic expressions.
(a) Factorize both expressions.
(b) Determine the GCD and LCM of the expressions given in the question.
5. The expressions \[a^4 + a^2b^2 + b^4\], \[a^3 – 3a^2 – 10a\], \[a^3 + 6a^2 + 8a\], and \[a^4 – 5a^3 – 14a^2\] are four algebraic expressions.
(a) Factorize the first expression.
(b) Find the GCD of the 2nd and 3rd expressions.
(c) Find the LCM of the 2nd, 3rd, and 4th expressions.
6. A paper has a length of 20 cm and a width of 16 cm. The paper is folded to create an open-top box with a height of 2 cm.
(a) How would you calculate the volume of the box?
(b) Calculate the surface area of the box.
7.An A4-sized paper is rolled along its width and length to create two cylinders as shown in the diagram.
(a) Which of the two cylinders you created has a larger volume?
(b) What shape would need to be cut out from the A4 paper for the volumes of both cylinders to be equal? Justify your answer.
8. Bahar and Sohag have a total of 30 pens. Bahar has 6 more pens than Sohag. Let the number of Sohag’s pens be \[x\], and form an equation accordingly.
(a) Form the equation.
(b) Determine the number of pens Bahar and Sohag each have.
(c) Verify the solution and provide comments on its accuracy.
9. Given \[1 – 5x + 6 = -x^2\], this is a quadratic equation with one variable.
(a) Rewrite the equation in standard form and determine the values of \[a\], \[b\], and \[c\].
(b) Solve the given equation
10. The table below shows the ages of people from several families:
| Age (years) | 1 – 10 | 11 – 20 | 21 – 30 | 31 – 40 |
|---|---|---|---|---|
| Population | 8 | 15 | 22 | 28 |
| Age (years) | 41 – 50 | 51 – 60 | 61 – 70 | 71 – 80 |
|---|---|---|---|---|
| Population | 18 | 12 | 10 | 5 |
(a) Determine the actual class limits for the frequency distribution table.
(b) Draw a bar chart representing the frequency distribution table.
11. The following table shows the customer counts for two banks:
Bank-A
| Account Type | Number of Accounts |
|---|
| Savings | 3200 |
| Current | 2600 |
| Fixed Deposit | 800 |
| Loan | 400 |
Bank-B
Total number of accounts in Bank-B = 10,000.
(a) What is a pie chart?
(b) Present the data for Bank-A in the form of a bar chart.
(c) How many savings accounts are there in Bank-B?
