IB Questionbank Mathematical Studies 3rd edition11.In each of
the Venn diagrams, shade the region indicated.(a)A B (b)The
complement of (A B) (c)The complement of (A B) (d)A (B C)(Total 4
marks)2.Let U = {4,, 1, p, 13, 26.7, 69, 1033}.A is the set of all
the integers in U.B is the set of all the rational numbers in
U.(a)List all the prime numbers contained in U.(b)List all the
members of A.(c)List all the members of B.(d)List all the members
of the set A B.(Total 8 marks) 3.Consider the following four
numbers.p = 0.00314 ; q = 0.00314 102 ; r = ; s = 3.14 102 (a)One
of these numbers is written in the form a 10k where 1 a < 10 and
k . Write down this number.(1) (b)Write down the smallest of these
numbers.(2) (c)Write down the value of q + s.(1) (d)Give your
answer to part (c) in the form a 10k where 1 a < 10 and k
.(2)(Total 6 marks)4.A rectangle is 2680 cm long and 1970 cm
wide.(a)Find the perimeter of the rectangle, giving your answer in
the form a 10k,where 1 a < 10 and k .(3)(b)Find the area of the
rectangle, giving your answer correct to the nearest thousand
square centimetres.(Total 6 marks) 5.(a)Calculate exactly
(1)(b)Write the answer to part (a) correct to 2 significant
figures.(1)(c)Calculate the percentage error when the answer to
part (a) is written correct to 2 significant figures.(2)(d)Write
your answer to part (c) in the form a 10k where 1 a < 10 and k
.(2)(Total 6 marks) 6.Let x = 6.4 107 and y = 1.6 108.Find(a)(b)y
2x,giving your answers in the form a 10k where 1 a < 10 and k
.(Total 8 marks)7.Using the formula V = pr2 (H h), and your
calculator value of p, calculate the value of V when r = 4.26, H =
21.58 and h = 14.35.(a)Give the full calculator display.(b)Give
your answer to two decimal places.(c)Give your answer to two
significant figures.(d)Write your answer to part (c) in the form a
10k where 1 a < 10 and k .(Total 8 marks) 8.A woman deposits
$100 into her sons savings account on his first birthday. On his
second birthday she deposits $125, $150 on his third birthday, and
so on.(a)How much money would she deposit into her sons account on
his 17th birthday?(b)How much in total would she have deposited
after her sons 17th birthday?(Total 4 marks)
