IB MathStatistics & Probability

1Numbers up to 10

1) Let S be the sum of n consecutive integers, where n is an odd positive integer. What is the median of the n numbers?2) Let a be the sum of 25 consecutive integers whose median is m, and let b be the sum of 15 consecutive integers whose median is n. What does ab equal?3) The Fibonacci sequence is defined as follows: The first term is 1, the second term is 1, and every term after these two equals the sum of the two terms that immediately precede it. So, for example, the first few terms in the sequence are1,1,2,3,5 ,…since 3=1+2,5=2+3 , etc. How many terms in this sequence that are less than 100 are prime numbers?

(a) 70(b) 700(c) 7000(d) 70 000(2 line spaces in between)Write your answers in the spaces provided.1. In 70 296,

(a) the place value of the digit ‘7’ is ____________________.(b) the value of the digit ‘2’ is ____________________.

2. What is the third common multiple of 4 and 12? (2 line spaces in between) Answer: ____________________ (2 line spaces in between)

Show your working clearly and write your answers in the spaces provided.3. 3 necklaces cost as much as 7 rings. If 3 necklaces and 3 rings cost $1860, find the cost of 1 necklace. (5 line spaces in between)© MatheMagics Asia Pte. Ltd.

2Numbers up to 10

Answer: ____________________ 4. Alex and John took part in a race. Alex’s average speed was 72m/min. When Alex completed the race in 13 of an hour, John had only

completed 37 of the race.(a) Find John’s average speed.(b) Find the time taken by John to complete the race. (6 line spaces in between)

Answer: (a) ____________________ (b) ____________________

5. Alex and John took part in a race. Alex’s average speed was 72m/min. When Alex completed the race in 13 of an hour, John had only completed 37 of the race.(a) Find John’s average speed.(b) Find the time taken by John to complete the race.(c) Find the time taken by Alex to complete the race. (7 line spaces in between)

Answer: (a) ____________________© MatheMagics Asia Pte. Ltd.

3Numbers up to 10

(b) ____________________(c) ____________________

© MatheMagics Asia Pte. Ltd.