BLUEPRINT
Subject: Mathematics | Blue Print (Session Ending Examination) | Class: VIII |
Time: 2 ½ hours | Max. Marks: 60 | |
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SL.NO | NAME OF THE CHAPTER | Understanding Basic Concepts | Ability to compute | Problem Solving Ability | Competency Based Question | Total | |
MCQ-1 Mark | SA-1 2Marks | LA-1 3Marks | LA2 4Marks | CCT | |||
1 | Rational numbers | 1(1) | 1(2) | 1(3) | - | - | 3(6) |
2 | Linear Equations in one variable | 1(1) | 1*(2) | 1(3) | - | - | 3(6) |
3 | Square and Square roots | 1(1) | 1(2) | 1(3) | - | - | 3(6) |
4 | Algebraic expressions and Identities | 2(1) | 1(2) | - | 1*(4) | - | 4(8) |
5 | Mensuration | 1(1) | - | 1*(3) | - | 1(5) | 3(9) |
6 | Exponents & Powers | 2(1) | - | - | 1(4) | - | 3(6) |
7 | Direct And Inverse Proportion | 2(1) | - | - | - | 1(5) | 3(7) |
8 | Factorisation | 1(1) | 1(2) | - | - | 1(3) | 3(6) |
9 | Introduction To Graphs | 1(1) | - | - | - | 1(5) | 2(6) |
| Total | 12(12) | 5(10) | 4(12) | 2(8) | 4(18) | 27(60) |
Note –
* Internal Choice Questions
Numerals inside the bracket indicate marks and outside the bracket indicate the number of questions
MARKING SCHEME
SECTION | MARKS | NO. OF QUESTIONS | TOTAL |
MCQ | 1 | 12 | 12 |
SA – I | 2 | 5 | 10 |
SA – II | 3 | 4 | 12 |
LA | 4 | 2 | 8 |
CCT | 1 | 18 | 18 |
GRAND TOTAL | 60 | ||
| PREVIOUS YEAR QUESTION PAPER | ||||
Subject: Mathematics | Session Ending Examination | Class: VIII | ||
Time: 2 ½ hours | Max. Marks: 60 | |||
Q.No | SET-1 Questions | Marks | ||
GENERAL INSTRUCTIONS:
| ||||
SECTION:A (MCQs)(12 x 1 = 12 Marks) | ||||
Q1 | A rational number can be represented in the form of: a) pq b) p x q c) p + q d) p-q | 1 | ||
Q2 | Observe the following temperature time graph and answer the related question: | 1 | ||
Q3 | Which of the following is like term as 4a2b? a) 9a b) 9b c) 9a2b d) 9a2 | 1 | ||
Q4 | The value of y in the y+3=10 equation is ____. a) 3 b) 7 c) 8 d) 13 | 1 | ||
Q5 | The value of 1x0 is a) 0 b) 1 c) 1x d-1x | 1 | ||
Q6 | The numerical coefficient of x2 in the expression 4x3-5x2-2x+3 is __. a) 4 b) -5 c) -2 d) 3 | 1 | ||
Q7 | Express the number 3.02 x 10-6 in usual form. (a) 0.00000302 (b) 0.30200000 (c) 0.0000000302 (d) 302000000 | 1 | ||
Q8 | If Anandi types 200 words in half an hour, she will be able to type ______________ words in 12 minutes. (Assuming the speed of typing to be uniform.) a) 40 b) 60 c) 80 d) 100 | 1 | ||
Q9 | _______________ is the common factor of 2y and 22xy a) 6y b) 2y c) 2xy d) 2x | 1 | ||
Q10 | Square root of 625 is ____ a) 25 b) 5 c) 65 d) 15 | 1 | ||
Q11 | The scale of a map is given as 1: 300. Two cities are 4 km apart on the map. The actual distance between them is: | 1 | ||
Q12 | Total Surface area of cuboid = a) lbh b) 2(lb+bh+hl) c) 2h(i+b) d) l+b+h | 1 | ||
SECTION:B (Short Answers) (5 x 2 = 10 Marks) | ||||
Q13 | Find the square root of 1764 by Prime Factorization method. | 2 | ||
Q14 | Solve the following equation 5t-3=3t-5 Or Solve: 8x+4 = 3(x-1)+7 | 2 | ||
Q15 | Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively: (10m,5n) | 2 | ||
Q16 | Factorize p2-10p+25 | 2 | ||
Q17 | Verify that –(-x)=x for x= 1115 | 2 | ||
SECTION:C (Long Answers-I) ( 4 x 3 = 12 Marks ) | ||||
Q18 | Solve: x2- 15 = x3+ 14 | 3 | ||
Q19 | Find the squares of the following number 32 using identity. | 3 | ||
Q20 | Find -23 x 35 + 52 - 35 x 16 | 3 | ||
Q21 | A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank. Or Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm. If one of the diagonals is 8 cm long, find the length of the other diagonal. | 3 | ||
SECTION:D (Long Answer-II) ( 2 x 4 = 8 Marks ) | ||||
Q22 | Simplify: (x2-5)(x+5)+25 Or Subtract 3l(l-4m+5n) from 4l(10n-3m+2l) | 4 | ||
Q23 | Simplify: | 4 | ||
SECTION:E (Competency Based study) (18 x 1 = 18 Marks) | ||||
Q24 | The following graph shows the temperature of a patient in a hospital, recorded every hour: | |||
a) | What was the patient’s temperature at 1 p.m.? | 1 | ||
b) | When was the patient’s temperature 38.5° C? | 1 | ||
c) | The patient’s temperature was the same two times during the period given. What were these two times? | 1 | ||
d) | What was the temperature at 1.30 p.m? | 1 | ||
e) | During which periods did the patients’ temperature showed an upward trend? | 1 | ||
Q25 | Emerald goes to her school by bicycle at average speed of 12 km/hr in 20 minutes and she goes to her school by scooter at an average speed of 40 km/hr. Emerald wants to reach her school in 15 minutes. | |||
a) | What should be the average speed of Emerald by bicycle to reach the school in 15 minutes? a) 12 km/hr b) 14 km/hr c) 16 km/hr d) 20 km/hr | 1 | ||
b) | What is the distance of school from Emerald’s house? a) 9 km b) 6 km c) 4 km d) 10 km | 1 | ||
c) | If Emerald goes by scooter at an average speed of 40 km/hr, then how long will it take to reach the school? a) 4 min b) 6 min c) 10 min d) 8 min | 1 | ||
d) | The time taken for a fixed journey and the speed of the vehicle is in ___ Proportion. a) Inverse b) Direct | 1 | ||
e) | If y1,y2 are the values of Y corresponding to the values x1,x2 of X respectively. Then in inverse proportion is _____ | 1 | ||
Q26 | A box contains a cylinder and a cube. The height of a cylinder is 7cm and the diameter of the cylinder is 7 cm. It has been observed that side of the cubical box is equal to the radius of the cylinder. | |||
a) | Side of the cube is ________ a) 7 cm b) 14 cm c) 3.5cm d) 28cm | 1 | ||
b) | Radius of the cylinder is ________ a) 7 b) 14 c) 3.5 d) 28 | 1 | ||
c) | What is the Curved surface area of the cylinder? a) 154 cm2 b) 432 cm2 c) 440 cm2 d) 512 cm2 | 1 | ||
d) | What is the Lateral surface area of the cube? a) 125 cm2 b) 256 cm2 c) 196 cm2 d) 625 cm2 | 1 | ||
e) | Which has the larger Lateral surface area? ___________ | 1 | ||
Q27 | Sunita was not keeping good health. Every other day, she used to fall sick because of some unknown reasons. She went to her family doctor and got herself examined. After her test, the doctor advised her to start taking supplements and exercises. She started jogging around a rectangular park daily. On one day after jogging she noted that she covered total distance given by the expression 44(x4 – 5x3 – 24x2) km. she noted the time also. It was given by the expression 11x (x – 8) hours. | |||
a) | What is the degree of the expression 44(x4 – 5x3 – 24x2)
| 1 | ||
b) | Find the factors of the expression 44(x4 – 5x3 – 24x2) | 1 | ||
c) | How much distance she covered in one hour? | 1 | ||
| PREVIOUS YEAR QUESTION PAPERS | |||||||||||||||||||||
Subject: Mathematics | Session Ending Examination | Class: VIII | |||||||||||||||||||
Time: 2 ½ hours | Max. Marks: 80 | ||||||||||||||||||||
Q.No | SET-1 Questions | Marks | |||||||||||||||||||
GENERAL INSTRUCTIONS:
| |||||||||||||||||||||
SECTION:A (MCQs)(16 x 1 = 16 Marks) | |||||||||||||||||||||
Q1 | A rational number can be represented in the form of: a) p/q b) p x q c) p + q d) p-q | 1 | |||||||||||||||||||
Q2 | Observe the following temperature time graph and answer the related question: | 1 | |||||||||||||||||||
Q3 | -59 X ____ = -59 a) 1 b) 0 c) -59 d) 59 | 1 | |||||||||||||||||||
Q4 | The value of x in the 6 = z+2 equation is ____. a) 4 b) 6 c) 8 d) 3 | 1 | |||||||||||||||||||
Q5 | The value of x in the equation 6x=12 is ___ a) 72 b) 6 c) 1 d) 2 | 1 | |||||||||||||||||||
Q6 | Express the following numbers in usual form: 3.02 10-6 Ans: | 1 | |||||||||||||||||||
Q7 | If Apoorva types 200 words in half an hour, she will be able to type ______________ words in 12 minutes. (Assuming the speed of typing to be uniform.) | 1 | |||||||||||||||||||
Q8 | The value of 1x0 is a) 0 b) 1 c) 1x d-1x | 1 | |||||||||||||||||||
Q9 | Which of the following is like term as 4a2b? a) 9a b) 9b c) 9a2b d) 9a2 | 1 | |||||||||||||||||||
Q10 | The side of a cube whose total surface area is 600 cm2 is a) 10cm b) 100cm c)6cm d)36cm | 1 | |||||||||||||||||||
Q11 | Add: ab – bc, bc – ca, ca – ab | 1 | |||||||||||||||||||
Q12 | Factorisation of a2 – 2ab + b2 – c2 gives a) (a – b – c) (a – b – c) b) (a – b – c) (a + b + c) c) (a – b – c) (a – b + c) d) (a + b + c) (a + b +c) | 1 | |||||||||||||||||||
Q13 | Cube root of 512 is ______ a) 8 b) 12 c) 9 d) 10 | 1 | |||||||||||||||||||
Q14 | Convert the ratio 2 : 3 to percentages a) 66.6% b) 19 % c) 30% d) 44% | 1 | |||||||||||||||||||
Q15 | Formula to find the Total surface area of cylinder is ____. | 1 | |||||||||||||||||||
Q16 | 72% of 25 students are good in Maths. How many are not good in Maths? a) 6 b) 7 c) 8 d) 9 | 1 | |||||||||||||||||||
SECTION:B (Case Base study) (10 x 1 = 10 Marks) | |||||||||||||||||||||
A |
Abhishek Banarjee completed his graduation from Acharya Jagadish Chandra Bose College under Calcutta University. He wanted to prepare for CIVIL services at New Delhi. So for taking admission in Delhi University, he went to Delhi by Air. During his journey from Kolkata to Delhi, the height covered by the aero plane is shown in the given graph. | ||||||||||||||||||||
Q17 | What the maximum height the aeroplane has covered? a) 450 m. (b) 100 m.(c) 0 m. (d) 1000 m. Ans: Option (d) The aeroplane rose up to 1000 metres. | 1 | |||||||||||||||||||
Q18 | What was the average speed of the aeroplane while rising?
Ans1; Option (a) The speed of the aeroplane while rising was 100 m per min. | 1 | |||||||||||||||||||
Q19 | . How long was the plane in level flight? 40 min. (b) 30 min.(c) 70 min. (d) 100 min. Ans:Option (c) The time taken by the aeroplane to be in level flight is 40 + 30 = 70 min | 1 | |||||||||||||||||||
Q20 | The flight took off at 9.30 a.m. from Kolkata Airport. When did it reach at New Delhi Airport? . Ans: Full Credit: Time of reaching at Delhi is 11.40 a.m | 1 | |||||||||||||||||||
Q21 | What is the scales used in x-axis and y-axis respectively? Ans: Full Credit: In x-axis, 1unit=10 min and y-axis, 1unit=100m. | 1 | |||||||||||||||||||
B | Emerald goes to her school by bicycle at average speed of 12 km/hr in 20 minutes and she goes to her school by scooter at an average speed of 40 km/hr. Emerald wants to reach her school in 15 minutes. | ||||||||||||||||||||
Q22 | What should be the average speed of Emerald by bicycle to reach the school in 15 minutes? a) 12 km/hr b) 14 km/hr c) 16 km/hr d) 20 km/hr Ans: 16 km/hr | 1 | |||||||||||||||||||
Q23 | What is the distance of school from Emerald’s house? a) 9 km b) 6 km c) 4 km d) 10 km Ans: 4Km | 1 | |||||||||||||||||||
Q24 | If Emerald goes by scooter at an average speed of 40 km/hr, then how long will it take to reach the school? a) 4 min b) 6 min c) 10 min d) 8 min Ans: 6 min | 1 | |||||||||||||||||||
Q25 | The time taken for a fixed journey and the speed of the vehicle is in ___ Proportion. a) Inverse b) Direct Ans: Inverse | 1 | |||||||||||||||||||
Q26 | If y1,y2 are the values of Y corresponding to the values x1,x2 of X respectively. Then in inverse proportion is _____ Ans: x1y1=x2y2 | 1 | |||||||||||||||||||
SECTION:C (Short Answers-1) (5 x 2 = 10 Marks) | |||||||||||||||||||||
Q27 | The price of a TV is ₹ 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it. | 2 | |||||||||||||||||||
Q28 | The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area Or Find the height of a cuboid whose volume is 275 cm3 and base area is 25 cm2 | 2 | |||||||||||||||||||
Q29 | Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively: (10m,5n) | 2 | |||||||||||||||||||
Q30 | Multiply the binomials: (2x+5)(4x-3) | 2 | |||||||||||||||||||
Q31 | Find the cube root of 15625 ( by prime factorization method ) | 2 | |||||||||||||||||||
SECTION:D (Short Answers-2) ( 8 x 3 = 24 Marks ) | |||||||||||||||||||||
Q32 | Solve: 5x+9=5+3x | 3 | |||||||||||||||||||
Q33 | Factorise the following expression: p2 +6p – 16 | 3 | |||||||||||||||||||
Q34 | Find the angle measures x in the given figure: | 3 | |||||||||||||||||||
Q35 | Multiply the binomials: (2x+5)(4x-3) | 3 | |||||||||||||||||||
Q36 | Find the squares of the following number 32 using identity. | 3 | |||||||||||||||||||
Q37 | A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank. Ans: | 3 | |||||||||||||||||||
Q38 |
| 3 | |||||||||||||||||||
Q39 | A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same? Ans: | 3 | |||||||||||||||||||
SECTION:E (Long Answer) ( 5 x 4 = 20 Marks ) | |||||||||||||||||||||
Q40 | A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length 1 m. | 4 | |||||||||||||||||||
Q41 | Solve (4x2 – 100) ÷ 6(x + 5) (OR) Factorise p4 – 81 | 4 | |||||||||||||||||||
Q42 | Simplify: Ans: | 4 | |||||||||||||||||||
Q43 |
Draw a pie chart showing the following information. The table shows the colours preferred by a group of people. | 4 | |||||||||||||||||||
Q44 | The following line graph shows the yearly sales figures for a manufacturing company. (a) What were the sales in (i) 2002 (ii) 2006? (b) What were the sales in (i) 2003 (ii) 2005? (c) Compute the difference between the sales in 2002 and 2006. (d)In which year was there the greatest difference between the sales as compared to its previous year? Answer : (a) The sales in: (i) 2002 was ₹ 4 crores and (ii) 2006 was ₹ 8 crores. (b) The sales in: (i) 2003 was ₹ 7 crores and (ii) 2005 was ₹10 crores. (c) The difference of sales in 2002 and 2006 = ₹8 crores – ₹4 crores = ₹ 4 crores (d)In the year 2005, there was the greatest difference between the sales as compared to its previous year, which is (₹10 crores – ₹ 6 crores) = ₹4 crores. | 4 | |||||||||||||||||||
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