Class 5 4th quarter in school

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1 ID : in-5-4th-quarter-in-school [1] Class 5 4th quarter in school For more such worksheets visit Answer the questions (1) For the last 4 days, Ram is spending the same amount every day. He has spent a total of Rs. 68. If Ram has Rs. 85 left with him, in how many more days will he finish this amount? (2) Surjeet buys 63 blackboards from a wholesale market for Rs. 2520, and then he sells each of them at 1.02 times the price he had bought them at. At what price did he sell each blackboards at? (3) Find the value of x. A) 12:11::156:x B) x:24::70:48 C) x:15::242:165 D) 22:17::110:x E) 25:x::425:357 F) x:10::55:50 (4) Sita weighs 15 kg while her cousin Sara weighs 20 kg more. What is the ratio of the weight of Sita to that of Sara? (5) A car can travel 472 km in 8 hours. How much distance can it cover in 27 hours? (6) How many beakers of 600 ml are required to fill a container of 3 l 600 ml? (7) Vinayak has 8 pairs of white socks and 5 pairs of brown socks. All the socks are in a bag. If Vinayak picks the socks without looking at them, how many socks he has to remove from the bag before he can be sure that he has a pair of brown color? (8) A tortoise has traveled at the same speed for 20 days and has covered a distance of 360 meters. If it travels 8 more days, what is the total distance it would additionally cover? Choose correct answer(s) from the given choices (9) Which rule can be used to explain this number pattern? 1, 6, 26, 106, 426, 1706, 6826,... a. Multiply by 1, then multiply by 2, then multiply by 3, and so on b. Multiply by 4 and add 2 c. Multiply by 4 and subtract 2 d. Add 0, then add 1, then add 2, and so on (10) Which of the following letters has a vertical line of symmetry? a. L b. N c. Z d. T (11) If >, > and >. Which of the following is definitely wrong? a. > b. > c. > d. >

2 (12) What are the next two shapes? ID : in-5-4th-quarter-in-school [2] a. b. c. d. (13) Which of following two shapes can be used to create the above figure? (You can cut the shapes if required) a. b. c. d. (14) Find the value of y. A) 11:4::y:16 a. 44 b. 13 c. 45 d. 10 C) 13:11::26:y a. 8 b. 22 c. 27 d. 26 B) y:11::64:44 a. 9 b. 20 c. 12 d. 16 D) 17:8::y:24 a. 51 b. 8 c. 3 d. 55 (15) Complete the pattern? a. b. c. d Edugain ( All Rights Reserved Many more such worksheets can be generated at

3 Answers ID : in-5-4th-quarter-in-school [3] (1) 5 The number of days taken by Ram to spend Rs. 68 = 4 days Since, he spent the same amount every day, the number of days taken by Ram to spend Rs. 1 = 4 68 = 1 17 days Number of days Ram will take to spend Rs. 85 = Thus, he will finish Rs. 85 in 5 days = 5 days (2) Rs Surjeet bought blackboards for Rs He then sold them all at a price 1.02 times their cost price. This means he sold them for Rs Rs = Rs To find the selling price of each blackboard we will divide Rs by 63. We have Rs = (3) A) :11::156:x can be written as: 12 = x By cross multiplying both sides: 12x = x = 12 x = 143 Thus, the value of x is 143.

4 B) 35 ID : in-5-4th-quarter-in-school [4] x:24::70:48 can be written as: x = By cross multiplying both sides: x = 48 x = 35 Thus, the value of x is 35. C) 22 x:15::242:165 can be written as: x = By cross multiplying both sides: x = 165 x = 22 Thus, the value of x is 22. D) 85 22:17::110:x can be written as: 22 = x By cross multiplying both sides: 22x = x = 22 x = 85 Thus, the value of x is 85.

5 E) 21 ID : in-5-4th-quarter-in-school [5] 25:x::425:357 can be written as: 25 = 425 x 357 By cross multiplying both sides: = 425x = x = x x = 21 Thus, the value of x is 21. F) 11 x:10::55:50 can be written as: x = By cross multiplying both sides: x = 50 x = 11 Thus, the value of x is 11.

6 (4) 3:7 ID : in-5-4th-quarter-in-school [6] Weight of Sita = 15 kg Since, the weight of Sara is 20 kg more than Sita, the weight of Sara = Weight of Sita + 20 = = 35 kg The fraction of the weight of Sita to that of Sara = = 3 7 Therefore, the ratio of the weight of Sita to that of Sara is 3:7. (5) 1593 km According to the question, a Car can travel 472 km in 8 hours. Speed = Distance Time = = 59 km per hour As we know, Distance = Speed Time Therefore, the distance covered by a car in 27 hours = Speed Time = = 1593 km

7 (6) 6 ID : in-5-4th-quarter-in-school [7] Let us first convert 3 l 600 ml into milliliters. We know, 1 l = 1000 ml So, 3 l = ml = 3000 ml Hence, 3 l 600 ml = 3 l ml = 3000 ml ml = 3600 ml Now, we have to find the number of beakers of 600 ml that are required to fill the container of 3 l 600 ml. For this, we have to divide 3600 ml by 600 ml ml 600 ml = 6 Therefore, 6 beakers of 600 ml are required to fill a container of 3 l 600 ml. (7) 18 Vinayak has 8 pairs of white socks and 5 pairs of brown socks. The question says that he picks up the socks without looking at their color. The worst case scenario here would be that he picks up all the white socks first and then the brown ones, because after the white one are all picked up, he can be sure that the next sock he picks up is brown. The total number of white socks is 8 2 = 16. After 16 socks, he will have to pick up 2 socks more to be sure that he has a pair of brown socks. From the above step, we can say that he will have to pick up = 18 socks before he has a pair of brown socks.

8 (8) 144 meters ID : in-5-4th-quarter-in-school [8] It is given that a tortoise has covered a distance of 360 meters in 20 days. We know, Speed = Distance Time Therefore, the speed = = 18 meters per day Distance traveled Number of days = We know, Distance = Speed Time Therefore, the total distance traveled by it in 8 days = Speed Time = 18 8 = 144 meters (9) b. Multiply by 4 and add 2 If we observe the given series carefully, the first member is 1, and the second member is 6. We may notice that 6 = The next member is 26, which may be written as , the next one is 106 = , the next one is 426 = and so on. Hence we may say that the series is formed by multiplying by 4 and then adding 2. Thus the correct answer is b. (10) d. T If we draw a vertical line down the middle of a letter such that the two sides become the mirror images of each other, then we can say that the letter has a vertical line of symmetry. Now, if we look at all the options carefully, we notice that if we draw a vertical line down the middle of the letter T, the two sides will be mirror images of each other. Hence, we can say that the letter T has a vertical line of symmetry.

9 (11) d. > ID : in-5-4th-quarter-in-school [9] It is given that is greater than, and is greater than. Therefore, we can infer that too is greater than. Now we know that is greater than, and it is given that is greater than. Therefore, we can infer that too is greater than. Since >, the statement > is definitely wrong. (12) a. If we observe the series of triangles, the dot is moving by one step in the anti-clockwise direction. The dot is at top in the first triangle, then at the left, and then at the right, and repeats the cycle. The last triangle has a dot at its left corner. And so by the above observation, we can say that the dot will be at the right in the next triangle, and at the top corner in the next triangle. The last triangle has a dot on its left. This means that, in the next two triangles, first one will again have a dot on its right, and the second one will have a dot on its top.

10 ID : in-5-4th-quarter-in-school [10] (13) a. A rectangle and an isosceles triangle can be used to create this figure. As given in question we can cut the shapes. Let us cut the triangle as follows: Now, we can add these triangles to the rectangle as shown below: Therefore, following shapes can be used to create this shape. (14) A) a. 44 We have been asked to find the value of y from 11:4::y:16. Here, 11 and 16 are called the extremes and 4 and y are called the mean terms. Since we know that the product of extremes is equal to the product of means, therefore: 4 y = y = 176 Now, we know the product is 176 and one of the multipliers is 4. The other multiplier, y, can be found by dividing the product by the known multiplier. y = 176 = 44 4 Therefore, the value of y is 44.

11 B) d. 16 ID : in-5-4th-quarter-in-school [11] We have been asked to find the value of y from y:11::64:44. Here, y and 44 are called the extremes and 11 and 64 are called the mean terms. Since we know that the product of extremes is equal to the product of means, therefore: = y = 44 y Now, we know the product is 704 and one of the multipliers is 44. The other multiplier, y, can be found by dividing the product by the known multiplier. y = 704 = Therefore, the value of y is 16. C) b. 22 We have been asked to find the value of y from 13:11::26:y. Here, 13 and y are called the extremes and 11 and 26 are called the mean terms. Since we know that the product of extremes is equal to the product of means, therefore: = 13 y 286 = 13 y Now, we know the product is 286 and one of the multipliers is 13. The other multiplier, y, can be found by dividing the product by the known multiplier. y = 286 = Therefore, the value of y is 22.

12 D) a. 51 ID : in-5-4th-quarter-in-school [12] We have been asked to find the value of y from 17:8::y:24. Here, 17 and 24 are called the extremes and 8 and y are called the mean terms. Since we know that the product of extremes is equal to the product of means, therefore: 8 y = y = 408 Now, we know the product is 408 and one of the multipliers is 8. The other multiplier, y, can be found by dividing the product by the known multiplier. y = 408 = 51 8 Therefore, the value of y is 51. (15) c. We can see that in successive pictures, the arrow is rotated clockwise. In the last picture, the arrow is facing up. Therefore after rotating clockwise, in the next picture, it should be facing right as shown below: Similarly, after rotating clockwise again, it should be facing down in the next picture as shown below: Similarly, after rotating clockwise again, it should be facing left in the next picture as shown below Step 5 Therefore, the next set of pictures will be: