WorksheetsOLYMPIAD CLASS 8
Total questions: 14
Worksheet time: 31mins
Prashant booked a cab to visit Lingaraj Temple from Patia. The cab fare included a fixed charge of Rs x and a variable charge of Rs y per km for first one hour of journey and then Rs z per km for rest of the time of journey. Distance between Patia and Lingaraj Temple is 20km. (z>y)
What amount Prashant will pay if he completed his journey in one hour?
20x + y
x+ 20y
xy +20
20xyz
Prashant booked a cab to visit Lingaraj Temple from Patia. The cab fare included a fixed charge of Rs x and a variable charge of Rs y per km for first one hour of journey and then Rs z per km for rest of the time of journey. Distance between Patia and Lingaraj Temple is 20km. (z>y)
What amount Prashant will pay if returns to Patia in the same cab and travels only 5 km in the second hour of journey?
x + 35y + 5z
35xy + 5z
xyz + 5
5
Prashant booked a cab to visit Lingaraj Temple from Patia. The cab fare included a fixed charge of Rs x and a variable charge of Rs y per km for first one hour of journey and then Rs z per km for rest of the time of journey. Distance between Patia and Lingaraj Temple is 20km. (z>y)
Abhishant called Prashant and asked to pick him, which added 12km to his journey. How much more Prashant has to pay if they completed the journey in one hour?
12y
x + 12y
12x
Prashant paid the same amount.
Prashant booked a cab to visit Lingaraj Temple from Patia. The cab fare included a fixed charge of Rs x and a variable charge of Rs y per km for first one hour of journey and then Rs z per km for rest of the time of journey. Distance between Patia and Lingaraj Temple is 20km. (z>y)
What Prashant has to pay if travels only 2km?
x- 2
yx
x+2y
x+ 2
Two circles are drawn inside a big circle with diameters 2/3rd and 1/3rd of the diameter of the big circle as shown in the figure. The length of the diameter of the circle is 18 cm.
The radius of both circles enclosed inside the big circle are______ and _______.
6cm, 3cm
12cm, 6cm
8cm, 4cm
18cm, 9cm
Two circles are drawn inside a big circle with diameters 2/3rd and 1/3rd of the diameter of the big circle as shown in the figure. The length of the diameter of the circle is 18 cm.
Find the area of the smallest circle.
36π cm²
9π cm²
12π cm²
36 cm²
Two circles are drawn inside a big circle with diameters 2/3rd and 1/3rd of the diameter of the big circle as shown in the figure. The length of the diameter of the circle is 18 cm.
Find the area of the shaded portion.
136π cm²
81π cm²
45π cm²
36 cm²
Ramu put a square fence around his vegetable garden to keep the deer away from eating his corn. One side was 10 m in length. If the posts were placed 2 m apart, how many posts did he use?
16
20
10
5
The numbers of coins of 1.5 cm in diameter and 0.2 cm thick, to be melted to form a right circular cylinder of height 10 cm and diameter 4.5 cm is____________
250
450
350
550
Anil can do a piece of work in 5 days and Ankur in 4 days. How long will they take do the same work, if they work together?
12/9
9/20
30/9
20/9
Radius of the larger circle is 15 cm and smaller circle is 10cm. Area of region 1 is 150π sq cm. What is the area of Region 2 ?
25π sq cm
30π sq cm
50π sq cm
75π sq cm
Find the matching pair.
Fig 1
Fig 2
Fig 3
Fig 4
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is Rs. (a)
Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is:
2:5
3:5
4:5
5:4
