IB MathStatistics & Probability

1Numbers up to 10

1) Consider the matrices A=(5 33 2) ,B=(3 −5

2 −3).(a) Find det A and hence write down the matrix A−1 .(b) Find the matrix A−1B.2) Consider the system of equations

0 .1 x−1 .7 y+0 .9 z=−4 .4−2 .4 x+0 .3 y+3 .2 z=1 .22 .5 x+0 .6 y−3 .7 z=0 .8

(a) Express the system of equations in matrix form. (b) Find the solution to the system of equations.

(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. © MatheMagics Asia Pte. Ltd.

2Numbers up to 10

(5 line spaces in between)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)

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3Numbers up to 10

Answer: (a) ____________________ (b) ____________________

(c) ____________________

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