Class seven math annual exam preparation: part 1
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Grade 7 Annual Math Test Guide,Class 7 Math Revision,
Duration: \[3\] Hours Class: \[7\] Full Marks: \[75\]
Section A: Objective (\[25\] Marks)
Multiple Choice Questions (Write the correct answer in the answer sheet) \[1 \times 15 = 15\]
\[1.\] Which entity uses counting with ‘\[1\]’ and ‘\[0\]’?
(a) Bird
(b) Insect
(c) Robot
(d) Bamboo
\[2.\] Using one hand, what is the maximum number of bits that can be counted in binary?
(a) \[2\]
(b) \[3\]
(c) \[4\]
(d) \[5\]
\[3.\] What is a closed circular curve called?
(a) Circle
(b) Square
(c) Rectangle
(d) Triangle
\[4.\] If the circumference of a circle is \[C\] and the diameter is \[d\], which of the following is correct?
(a) \[\frac{d}{C} = \pi\]
(b) \[Cd = \pi\]
(c) \[\frac{C}{d} = \pi\]
(d) \[C\pi = d\]
\[5.\] Which of the following is the formula for finding the area of a rectangle?
(a) Length + Width
(b) Length – Width
(c) Length \[\times\] Width
(d) Length ÷ Width
\[6.\] What is \[xz\] called in relation to \[x\] or \[z\]?
(a) Factor
(b) Multiplier
(c) Product
(d) Divisor
\[7.\] How many sides does a quadrilateral have?
(a) \[3\]
(b) \[5\]
(c) \[3\]
(d) \[4\]
\[8.\] How many faces does a cube have?
(a) \[7\]
(b) \[4\]
(c) \[6\]
(d) \[8\]
\[9.\] How many circular faces does an equilateral cylinder have?
(a) \[3\]
(b) \[2\]
(c) \[3\]
(d) None
\[10.\] If \[5\] is added to both sides of the equation \[x + 4 = 7\], what will the new equation be?
(a) \[x + 8 = 9\]
(b) \[x + 9 = 12\]
(c) \[x + 6 = 8\]
(d) \[x + 2 = 3\]
\[11.\] If both sides of the equation \[x + 5 = 10\] are subtracted by a certain value, the solution of the equation is obtained. What is that value?
(a) \[5\]
(b) \[15\]
(c) \[10\]
(d) \[20\]
\[12.\] What is the solution to the equation \[300 \times h = 9000\]?
(a) \[h = 20\]
(b) \[h = 25\]
(c) \[h = 30\]
(d) \[h = 35\]
\[13.\] Which of the following cannot be represented as a number?
(a) Value
(b) Weight
(c) Height
(d) Cloudy
\[14.\] Which type of data measurement cannot be quantified?
(a) Qualitative
(b) Range
(c) Varied
(d) Numerical
\[15.\] Rafiq’s height is \[4.5\] feet. In statistical terms, what would you call \[4.5\]?
(a) Number
(b) Information
(c) Data
(d) Digit
Answer in One Word: \[1 \times 10 = 10\]
\[16.\] How many signals are used in the machine counting system?
\[17.\] What is the GCD of \[ab – b^2\] and \[a^2b + b\]?
\[18.\] What is the curve called that encloses a circle?
\[19.\] Write the formula for finding the area of a parallelogram.
\[20.\] A triangle is a shape bounded by how many line segments?
\[21.\] What is the shape of a pipe?
\[22.\] Which symbol must be present in an equation?
\[23.\] If \[x + 7 = 30\], what is the value of \[x\]?
\[24.\] “Number of books in your home” — what type of data is this?
\[25.\] What is the true class interval for the range \[41 – 85\]?
Section B: Short and Essay-type Questions (\[25\] Marks)
\[1.\] Answer the following questions: \[2 \times 13 = 26\]
(a) What is the binary representation of the decimal number \[13\]?
(b) Convert “MATHEMATICS” into binary code.
(c) If the radius of a circle is \[4\] units, what is its area?
(d) Calculate the radius of a circular park if the difference between its diameter and circumference is \[100\] meters.
(e) Factorize the expression \[5a^2b^2 + 9a^4b^2\] using a diagram.
(f) Find the LCM of \[6a^3b^2c\] and \[9a^4b^2d\].
(g) If a box has a length of \[20\] cm, width of \[8\] cm, and height of \[3\] cm, find its volume.
(h) Determine the volume of a math book with length \[26\] cm, width \[19\] cm, and height \[1.8\] cm.
(i) How many small cubes with a radius of \[1.3\] cm are needed to fill a large carton of volume \[274.625\] cubic cm?
(j) The floor area of a rectangular room is \[132\] square meters. If the length of the floor is decreased by \[6\] meters and the width is tripled, the area remains unchanged. Find the length and width of the floor.
(k) If three times a number plus \[5\] equals \[25\], form an equation and find the number.
(l) What is quantitative data? List the types of quantitative data.
(m) In a class of \[30\] students, the scores in Bengali in the annual exam are as follows:
\[80, 60, 60, 40, 60, 90, 55, 30, 50, 85, 45, 75, 65, 40, 40, 70, 85, 80, 55, 80, 60, 50, 80, 65, 85, 60, 65, 75, 75, 65\]. Create a summary of the data classification based on an interval of \[11\].
Descriptive Questions (Scenario-based): (Answer any 7 out of 10 questions. Each question carries 7 marks) \[7 \times 7 = 49\]
\[2.\] Roni learns about different numbering systems in his ICT class. Based on this, his sister’s age is \[1011\] in binary and his age is \[25\] in decimal.
(a) What is an algorithm?
(b) Express Roni’s sister’s age in decimal using cards.
(c) Represent Roni’s age in binary with the help of blocks and state how many bits it is.
\[3.\] In the illustration, two concentric circles are shown. The area of the right-angled triangle \[OAB\] inscribed in the smaller circle is \[18\] square meters.
(a) Using the concept of triangle area, find the radius of the circle.
(b) Calculate the area of the smaller circle.
(c) Calculate the area of the larger circle.
\[4.\] (i) \[x^2 + 2x – 15\] and
(ii) \[2x^4 + 8x^3 + 10x^2\] are two algebraic expressions.
(a) What is a factor of an algebraic expression?
(b) Considering expression (ii) as the area of a rectangle, factorize it.
(c) Factorize expression (i).
\[5.\]
(i) What is GCD?
(ii) Determine the length and width of the rectangle mentioned in the prompt.
(iii) If the length of the rectangle is reduced by \[1\] unit and the width is doubled, how does the area change? Calculate the new area.
\[6.\] The external dimensions of a rectangular box are \[8\] cm, \[6\] cm, and \[4\] cm, respectively. The surface area of the oil inside is \[88\] square cm, equal to the full volume of oil.
(a) What is the volume of the box?
(b) Can you determine the fullness of the box?
\[7.\] 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?
(b) What is the total surface area of the box?
\[8.\] The sum of two numbers is \[9\]. The smaller number is \[5\] times the \[4\]-fold of the larger number.
(a) Form an equation based on the given problem.
(b) Determine the divisors of the two numbers.
\[9.\] The length of a rectangle is \[3\] meters more than its width, and its area is \[10\] square meters. It costs \[100\] taka per meter to fence around the rectangle.
(a) Form an equation based on the prompt and find its optimal dimensions.
(b) Calculate the length of the rectangle.
(c) Calculate the total cost to fence around the rectangle.
\[10.\] The weights (in kg) of \[25\] students are given below:
\[45, 50.5, 43.8, 35, 42, 48, 52, 58, 47, 38, 55, 36.8, 36, 48.5, 47.5, 40.5, 41, 37, 36, 43, 35.4, 45.2, 48.5, 28.5, 30.8\]
(a) What is the range of the data?
(b) Present the data in a frequency distribution table.
(c) Represent the data graphically and provide an explanation.
\[11.\] The weights (in kg) of \[30\] cows on a farm were measured as follows:
\[140, 165, 155, 150, 145, 172, 160, 173, 166, 163, 185, 170, 167, 170, 164, 140, 153, 170, 175, 160, 170, 147, 177, 160, 161, 155, 166, 180, 161, 157\]
(a) Determine the range of the data.
(b) Create a frequency distribution table for the data.
