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Science & Math for K6 - K12 Students

Exercises-I & II
Exercise-I
 1. 40 – 4p, 40 – 2p, 40, 40 + 2p, 40 + 4p. What is the average of the above expressions ? a) b) c) 40p d) 40 e)  40 + p

 2. The amount of time that James walks is directly proportional to the distance that he walks. If he walks a distance of 4.8miles in 30mts how many miles will he walk in 3 hours? a)  28.6 miles b)  28.4 miles c)  28.8 miles d)  28.2 miles e)  28.5

 3. A total of 2,80,000 were cast for 2 candidates Anderson and Arnold. If Anderson won by a ratio of 5 to 3; how many votes did Arnold get? a)  106,000 b)  107,000 c)  105,000 d)  104,000 e)  100,000

 4. Which of the following is equivalent to of 720 a)  60% of 100 b)  25% of 120 c)  50% of 120 d)  20% of 96 e)  10% of 480

 5. On wednesday, a watchmaker made 12 more watches than he had made during the previous day. If he had made 20% more watches on wednesday than on tuesday, how many watches did he make on tuesday? a)  70 b)  80 c)  60 d)  50 e)  40

 6. If p is 84% and q is which of the following is closest equivalent of the ratio of p to q? a)  0.92 b)  0.94 c)  0.96 d)  0.98 e)  0.90

 7. In right angled triangle, and AC = 20√ feet. What is the perimeter of ΔABC in feet? a)  20(2 + √2) b)  20(1 + √2) c)  20(4 + √2) d)  20(√2 + √2) e)  20(1 + 1)

 8. If 3a + 2b = 16, 4a – b = 14 then the value of a + b is a)  4 b)  5 c)  6 d)  7 e)  8

 9. If the perimeter of a square 48 feet then what is the sum of the lengths of two diagonals? a)  26√2 b)  22√2 c)  24√2 d)  23√2 e)  25√2

 10. ZX and ZY are tangents to the circle and O is its centre. If = (3x + 10)° and = (2x + 20)° then the value of is a)  90° b)  110° c)  100° d)  80° e)  120°

Exercise-II
 1. At a carnival the cost of 3 coffee tins and 2 tea packets is \$ 23 and that of one coffee tin and 4 tea packets of the same type is \$ 21. Find the cost of each a)  \$ 6, \$ 4 b)  \$ 5, \$ 3 c)  \$ 5, \$ 4 d)  \$ 5, \$ 2 e)  \$ 6, \$ 2

 2. A horse and two cows together cost \$ 680. If a horse cost \$ 80 more then a cow. Find the cost of a horse a)  \$ 240 b)  \$ 260 c)  \$ 290 d)  \$ 280 e)  \$ 200

 3. A man when asked how many hens and buffoloes he has, told that his animals have 222 legs and 134 eyes. How many hens does he have ? a)  21 b)  22 c)  23 d)  24 e)  25

 4. A godown has space for 48 sofa sets. Right now there are 38 sofa sets. Tomorrow 'n' sofa sets will be stored in the godown . If the total number of sofa sets on that transit bus is not over the limit. Interms of n, how many sofa sets will be in the godown ? a)  n + 38 ≤ 48 b)  n – 38 ≤ 48 c)  n + 38 ≥ 48 d)  n + 38 > 48 e)  n – 38 = 48

 5. If f(x) = 2x + 7 and g(x) = 4x – 5 then what is the value of g(f(– 8)) ? a)  – 40 b)  – 42 c)  – 43 d)  – 41 e)  – 45

 6. If OA = 7" and OA : AB : OB = 1 : 1 : √2 then the area of the shaded region is a)  23.5" b)  22.5" c)  24.5" d)  25.5" e)  26.5"

 7. If f(x) = for all values of x ≥ 0 and f(x) = x2 + 4 for all values of x < 0 then what is the sum of f(– 4) + f(8) a)  26 b)  18 c)  17 d)  25 e)  10

 8. If f(x) = x2 and g(x) = x + 4 then the value of is a)  8 b)  9 c)  7 d)  6 e)  5

9. David can ride a motorbyke at a speed of 40 kmph and cover certain distance
 Time (in hours) 1 2 3 4 Distance covered (in km) 40 km 80 km 120 km 160 km
Which equation represents the given data graphically
a)  y = 40x – 40
b)  y = 40x + 40
c)  y = 40x
d)  y =
e)  y =

 10. which of the following is represented by the equation a)  y – 2x – 4 = 0 b)  y + 2x – 4 = 0 c)  y – 2x + 4 = 0 d)  y – 2x – 8 = 0 e)  y + 2x – 16 = 0

 11. The average number of school bags sold per day for the first 12 days of a month is 30. The next 10 days he sells 40 bags per day. For the remaining 8 days he sells at an average of 10 bags per day. Find the average sale of bags for the whole month a)  26 b)  24 c)  28 d)  30 e)  27

 12. If y = 34x and x and y are both integers then which of the following is equation to 38x + 34x + 3 ? a)  y2 + 2y + 3 b)  2y – y2 + 3 c)  y2 – 2y + 3 d)  y2 + y + 3 e)  y2 + 3y + 3

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