Summer Exam
2nd Year Higher Level Maths
1 hour 25 minutes
Name: _______________________
Formulae:
Question 1:
(b)
(c)
(Suggested maximum time: 10 mins)
Question 2:
(Suggested maximum time: 10 mins)
Question 3:
(a)
(b)
(Suggested maximum time: 20 mins)
(c)
(d) When 3 is taken from four times a certain number and the result is divided by 7, the
answer is 3. Find the number.
Question 4:
(a)
(Suggested maximum time: 10 mins)
Question 5:
(Suggested maximum time: 15 mins)
A spherical golf ball has a diameter of 42.68mm.
(a) Find the volume of the golf ball, correct to one decimal place.
A cylindrical hole on a golf course is 10cm in diameter and 12cm deep. The hole is half full of water.
(b) Calculate the volume of the water in the hole in terms of π.
(c) Shane rolls the ball into the hole. Find the rise in the level of the water (h), correct to two
decimal places.
Question 6:
(c)
(Suggested maximum time: 15 mins)
(d)