## NTSE SAT Mathematics Sample Questions

1. An electric contractor purchases a certain amount of wire. 10% of which is stolen. After using 85% of the remainder, he had 54 m of the wire left. How much wire did he purchase?
1. 300 m 2. 350 m 3. 375 m 4. 400 m

2. In two similar triangle ABC & PQR, if their corresponding altitudes AD & PS are in ratio of 4:9, find the ratio of the Area of Δ ABC to that of Δ PQR.
(a) 16:81
(b) 32:92
(c) 33:94
(d) None of these

3. Five year hence, father’s age will be 3 times then the age of his son. Five years ago, father was 7 times as old as his son. Find their present age ?
(a) 10, 40
(b) 5, 50
(c) 3, 30
(d) None of these
Ans. Let father, age = x & son’s age = y

4. IF x + y = 12, the maximum value of the product of xy is
(a) 26 (b) 36
(c) 30 (d) None of these
Ans. (b)

5. Two taps A & B take 20 minutes & 30 minutes to fill a cistern independently. The cistern can filled in 40 minutes with the taps A & B & the waste pipe are open altogether. If the taps are closed, calculate the time taken by the discharging outlet to empty the full cistern.
(a) 10 minutes
(b) 15 minutes
(c) 20 minutes
(d) None of these
Ans. Let the volume of cistern = V
Volume of water filled by tap A in 1 minute =
Volume of water filled by tap B in 1 minute =
Taps (A + (B) together can fill in 1minute =
When the discharging outlet is open these taps can fill water in one minute =
The outlined empties the cistern in 1 minute =
So the time taken by the outlet to discharging the whole water volume v is =

NTSE Class VIII Sample Papers

NTSE