Decimals | Maths Olympiad Class 6 PDF Download

Q1: Sonika bought 4 kg 500 g of wheat, 5 kg 650 g of sugar, and 12 kg 600 g of rice. What was the total weight of her purchases?
(a) 10.150 kg
(b) 22.750 kg
(c) 25.350 kg
(d) 19.250 kg
Ans: (B)

• Weight of wheat = 4 kg 500 g = 4.500 kg
• Weight of sugar = 5 kg 650 g = 5.650 kg
• Weight of rice = 12 kg 600 g = 12.600 kg
• Total weight of all items = (4.500 + 5.650 + 12.600) kg = 22.750 kg

Q2: Deepak initially possessed 17.45 litres of water. After giving 8.30 litres to his neighbour, how much water does he have remaining?
(a) 9.30 litres
(b) 5.45 litres
(c) 9.15 litres
(d) 6.12 litres
Ans: (C)

• Initial quantity: Deepak had 17.45 litres of water.
• Amount given away: He gave 8.30 litres to his neighbour.
• Calculation: To find the remaining water, subtract the amount given from the initial quantity: 17.45 - 8.30 = 9.15 litres.
• Conclusion: Therefore, the quantity of water left with Deepak is 9.15 litres.

Q3: Namita travels a total distance of 20 km 50 m each day. She covers 10 km 200 m by bus. What is the distance she travels by auto?
(a) 9.850 km
(b) 8.850 km
(c) 9.750 km
(d) 7.850 km
Ans: (A)

• Total distance Namita travels daily is 20 km 50 m, which converts to 20.050 km.
• She travels 10 km 200 m by bus, which is equal to 10.200 km.
• To find the distance traveled by auto, we subtract the bus distance from the total distance: 20.050 km - 10.200 km = 9.850 km.
• Thus, the distance she travels by auto is 9.850 km.

Q4: Prerna had ₹ 5000. She purchased 2 boxes of chocolates for ₹ 52.98 each, 3 packets of chips for ₹ 12.98 each, and 2 books for ₹ 300.05 each. How much money does she have remaining?
(a) ₹ 4255
(b) ₹ 4750
(c) ₹ 4000
(d) ₹ 3870
Ans: (A)

• Total expenditure is calculated as follows: ₹ ((2 × 52.98) + (3 × 12.98) + (2 × 300.05)).
• This simplifies to ₹ (105.96 + 38.94 + 600.10) = ₹ 745.
• To find the remaining amount, subtract the total expenditure from the initial amount: ₹ (5000 – 745) = ₹ 4255.
• Thus, Prerna has ₹ 4255 left after her purchases.

Q5: Prem attended a craft fair where he spent a total of ₹ 16.00. He paid ₹ 6.00 for admission and visited 8 tables, spending the same amount of money (₹ m) at each table. The equation to determine how much he spent at each table is 16 = 6 + 8 m. What was the amount Prem spent at each table?
(a) ₹ 0.50
(b) ₹ 0.80
(c) ₹ 1.25
(d) ₹ 2.50
Ans: (C)

• We start with the equation: 16 = 6 + 8 m.
• Subtract 6 from both sides to isolate the term with m: 8 m = 16 - 6 = 10.
• Now, divide both sides by 8 to find m: m = 10 / 8 = 1.25.
• This means Prem spent ₹ 1.25 at each table.