Annual exam last minute final preaparation for class 6 math
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Mathematics
Time: 3 hours Class: 6 Full Marks: 100
Section A: Objective (25 Marks)
Multiple Choice Questions: (Write the correct answer in the answer sheet)
1 × 15 = 15
1. The price of 7 pencils is 35 taka, and the price of 5 pens is 50 taka. How much money is needed to buy a dozen pencils and a dozen pens?
(a) 140 taka (b) 160 taka (c) 180 taka (d) 200 taka
2. Which of the following is the mathematical symbol for ratio?
(a) ÷ sign (b) % sign (c) : sign (d) : : sign
3. Out of 50 mangoes in a basket, 25 mangoes are unripe. What percentage of mangoes in that basket are unripe?
(a) 20% (b) 25% (c) 40% (d) 50%
4. Where is the oldest evidence of the measurement system found?
(a) Ancient Egypt (b) America (c) British (d) India
5. What is the unit of length measurement in the British system?
(a) Meter (b) Mile (c) Centimeter (d) Inch
6. Which branch of mathematics acts as a bridge among all branches?
(a) Arithmetic (b) Algebra (c) Geometry (d) Trigonometry
7. What is called a quantity that does not change in value in mathematical operations?
(a) Constant (b) Variable (c) Variable (d) Symbol
8. Which of the following is correct in the case of a simple equation?
i. Linear ii. Quadratic iii. Single variable
Which of the following is correct?
(a) i and ii (b) ii and iii (c) i and iii (d) i, ii, and iii
9. What is the solution of the equation y – 6 = 11?
(a) 6 (b) 11 (c) 5 (d) 17
10. What is the meaning of the word “Metron”?
(a) Land (b) Measure (c) Element (d) Object
11. Which book did the Greek scientist Euclid compile to organize the theorems of geometry?
(a) Geometry (b) Corics (c) Statistics (d) Elements
Annual exam last minute final preaparation for class 6 math : Bangla vershion
12. What is the line segment called that connects the vertex of a triangle to the midpoint of the opposite side?
(a) Height (b) Base (c) Median (d) Hypotenuse
13. Which is most commonly used in our practical life?
(a) Mean (b) Median (c) Mode (d) Midrange
Based on the following data, answer questions 14 and 15:
4, 7, 9, 4, 12 are data of a statistic.
14. What is the median?
(a) 7 (b) 4 (c) 9 (d) 12
15. What is the mode?
(a) None (b) 12 (c) 2 (d) 4
16. If the price of four bananas is 40 taka, what is the price of one banana?
17. What should be done with the cells of the grid in the hundred grid game?
18. Who uses measurements like “18 carat, 24 carat”?
19. What is a quantity called in algebra that is formed using process symbols, numeric symbols, variables, constants, etc.?
20. What is a quantity called that does not change in value in mathematical operations?
21. Which variable’s equation is 5x – 1 = 10?
22. Where can evidence of the use of geometry be found?
23. How many angles does a triangle have?
24. What type of data are 5, 10, 7, 4, 15?
25. If the sum of the numerical values of the data is 320 and the total number of data is 8, what is the arithmetic mean?
Section B: Short and Descriptive (75 Marks)
1. Answer the following questions: 2 × 13 = 26
(a) The ratio of the ages of a mother and son is 3:1. If the mother’s age is 30 years, what is the son’s age?
(b) Raju bought 6 dozen red marbles and 8 dozen green marbles, then packed the marbles in packets of 3 marbles each. Determine the number of packets of red and green marbles.
(c) The weight of the son is 40 kg, and the weight of the father is 80 kg. How many times is the father’s weight compared to the son’s weight?
(d) If the length of a box is 6 inches, what is the length of that box in cm?
(e) Noman walks 800 meters daily, and Miraj walks 700 meters daily. How many kilometers do they walk together daily?
(f) How many terms are there in the algebraic expression 14x – 5y, and identify the terms.
(g) Explain how many terms there are in the expression 3x – 2yz + 5x ÷ y.
(j) Determine the solution of the equation 3z – 8 = z + 2.
(k) Solve the equation \[\frac{y}{6}\] = 5 and verify the accuracy of the solution.
(l) The length, width, and height of a book are 10 cm, 6 cm, and 4 cm, respectively. How much paper is required to cover the book, considering the blue part of the paper is 2 cm wide on all sides?
(m) A cube was created by cutting paper:
Determine the total surface area of the cube.
(n) Find the median of the following data:
1400, 2500, 1100, 800, 1500, 700, 600, 900, 1050, 1200
(o) Write the prime numbers smaller than 50 and calculate their mean.
Descriptive Questions (Context-based): Answer any 7 of the 10 questions. Each question is worth 7 marks. 7 × 7 = 49
2. Shamim goes to the market with 2000 taka and spends 1200 taka on groceries. On the way home, he buys a toy. Upon returning home, he finds that he has spent 70% of his total money.
(a) How much money did Shamim spend in total? 2
(b) What is the price of the toy? 2
(c) What percentage of the total money is the price of the toy? 3
3. Due to a 25% increase in the price of oranges, 5 fewer oranges can be bought for 500 taka than before.
(a) What is the current price per dozen oranges? 3
(b) How many oranges could be bought for 500 taka previously? 4
4.
(a) What is the distance from home to the hospital in cm? 1
(b) What distance must be traveled in km from home to school via the riverbank? 3
(c) Which route requires the shortest distance to reach the school from home? 3
5.
(a) Determine the perimeter of the board. 3
(b) Determine the area of the board. 4
6. The price of a notebook is x taka, the price of a pencil is y taka, and the price of an eraser is z taka.
(a) If Rafid buys a dozen pencils, how much will he spend? 2
(b) Sajib purchased five pencils and two erasers. How much will he spend? 2
(c) Joy buys three notebooks, four pencils, and one eraser, then gives the shopkeeper a 200-taka note. How much change will the shopkeeper return to Joy? 3
7. The length of a playground is 16 meters more than its width.
(a) If the width of the playground is x meters, express the perimeter of the playground in terms of x. 3
(b) If the perimeter of the playground is 120 meters, calculate the area of the playground. 4
8. The total cost of x pens and 3 notebooks together is y taka. Each pen costs 5 taka, and each notebook costs 30 taka.
(a) Determine the number of pens when y = 140 taka. 3
(b) If the number of pens is 5, find the value of y. 4
9. The length and width of the floor of a rectangular room are 7 meters and 5 meters, respectively. A room with the same perimeter needs square tiles with a side length of 2 meters on its floor. Each tile costs 40 taka.
(a) Determine the perimeter of a square with the same area as the rectangular floor. 3
(b) Calculate the total cost of tiling the square room. 4
10. Observe the following data:
(a) Calculate the mean of the data. 2
(b) Determine the median of the data. 2
(c) Show that the data has two modes, 12 and 17. 3
11. Mr. Solaiman is a rice trader. His daily rice sales amount (in maunds) for 20 days are as follows:
61, 51, 78, 72, 63, 54, 59, 62, 73, 84, 65, 67, 74, 81, 57, 50, 58, 63, 66.
(a) Arrange the data. 1
(b) What is his average daily rice sales? 2
(c) Determine the median and mode. 4
