Answer all the questions.

1) Fill in the blanks:

(1 × 5 = 5)
  1. 8.90 multiplied by 100 is _____.
  2. An ‘L’ shaped angle is called _____ (obtuse angle/ right angle/acute angle).
  3. A five-sided polygon is called _______ (pentagon/heptagon).
  4. The successor of the greatest 6 digits number is _____ (1 lakh/ 10 lakh/1 crore).
  5. The sum of the first two multiples of 7 is ____.

2) Choose the correct answer:

(1 × 5 = 5)
  1. 5 is represented using tally marked as
    i) G5_1a_QP3_Symbol ii) G5_1b_QP3_Symbol
    iii) G5_1c_QP3_Symbol iv) G5_1d_QP3_Symbol
     
  2. At what time the angle between the minute hand and the hour hand is equal to 90°?
    i) 9 o’clock ii) 1 o’clock
    iii) 6 o’clock iv) Quarter past 8
     
  3. If the distance is in km and time in hour, then the unit of speed is _____.
    i) m per second ii) hour per km
    iii) km per second iv) km per hour
     
  4. One-hundredth of a metre is called a _____.
    i) metre ii) kilometre
    iii) millimetre iv) centimetre
     
  5. All multiples of 2 are:
    i) Prime numbers ii) Odd numbers
    iii) Even numbers iv) Coprime numbers
     

3) Arrange the numbers:

(1 × 2 = 2)
  1. 4.068, 4.608, 4.680, 4.086 in ascending order.
  2. 2.143, 2.341, 1.423, 2.314 in descending order.

4) Convert the fraction to decimal:

(1 × 2 = 2)
a) 80/100 b) 99/10
 

5) Subtract the following:

(1 × 2 = 2)
a) 9/7 - 4/7 b) 7/4 + 3/4
 

6) Solve the following:

(2 × 7 = 14)
  1. The cost of a video game is Rs 1526. How much money you need to save every week for 7 weeks to buy the game?
  2. Find the quotient 6/8 and check the answer?
  3. Rahul sold a washing machine for Rs 24,845 thereby getting a profit of Rs 4,875. Find the cost price of the machine.
  4. A brick is of length 20 cm, breadth 15 cm and height 90 mm. Find the total space occupied by 500 such bricks.
  5. Find the largest common factor of 24 and 16 using a circle diagram.
  6. Multiply 16.68 by 28.
  7. A square is of side 5 cm. If the side of the square gets doubled, then find the change in the area of the square.

7) Draw the following shape when it is:

(1 × 2 = 2)
G5_2_QP3_Triangle
  1. Half turn
  2. One-quarter turn clockwise

8) Calculate the angle

(2 × 1 = 2)
G5_3_QP3_Angle

If angle AOC = 60°, then find the measure of angle BOA.

9) In a group of 1712 people, 3/8 of them are men while the remaining are ladies. Calculate:

(1 × 2 = 2)
  1. The number of men.
  2. The number of ladies

10) The weight of one 5-rupee coin is 8 g. Calculate the number of coins in a bag that weights:

(1 × 2 = 2)
  1. 40 kg
  2. 5680 g

11) A rectangular field of length 60 cm and width 800 mm is to be covered with rectangular tiles of 4 cm by 5 cm. Calculate:

(1 × 3 = 3)
  1. Area of the field.
  2. Area of tile.
  3. Number of tiles required.

12) A shopkeeper bought 6000 kg of fresh grapes for Rs 15 per kg. She dried the grapes. The dried grapes are one-fourth of the fresh grapes. She sells the dried grapes for Rs 65 per kg. Calculate:

(1 × 3 = 3)
  1. The cost of 6000 kg of fresh grapes.
  2. The total weight of dried grapes.
  3. The total profit amount earned by selling the dried grapes.

13) Following is a rate list of some items.

Items Price in Rs (per kg)
Potato Rs 28 per kg
Tomato Rs 15 per kg
Onion Rs 24 per kg
Bitter gourd Rs 26 per kg
Carrot Rs 16 per kg

Karan got a shopping list, as shown below.

Items Quantity
Potato 2 1/2 kg
Carrot 3 1/5 kg
Bitter gourd 1/2 kg

Calculate:

(1 × 3 = 3)
  1. The price of each item in Karan’s shopping list.
  2. How much will he need to pay in all?
  3. If he gave the shopkeeper a 500-rupees note, how much would the shopkeeper return him?

14) Observe the table given below and answer the following questions:

(1 × 3 = 3)
Boats Number of fish caught in one trip Speed
Fishing Boat 32 15 km per hour
Motorboat 13 11.2 km per hour
Dinghy boat 15 13 km per hour
  1. Find the distance a motorboat can cover in 12 hours.
  2. Find the number of fish each boat can catch in 3 trips.
  3. If the dinghy boat has to cover a distance of 60 km, then how much time will it take in all?

 

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