IMO 2015 Level 2

Arrange the following numbers in ascending order

• P, Q, R, S

• Q, P, S, R

• R, S, P, Q

• S, R, Q, P

Find the possible values of P and Q respectively.

• 2000, 6436

• 6436, 2000

• 6336, 2000

• Both 2000 and 6436

Find in the blanks.

(i) At 20 minutes past six, the minute hand points at _____.

(ii) At noon and midnight, both hands point to _____.

• (i) 6, (ii) 12

• (i) 8, (ii) 6

• (i) 4, (ii) 6

• (i) 4, (ii) 12

Difference between the greatest and smallest 4 digit number formed by using given digits is ______.

• 6317

• 7371

• 6361

• 7261

I am thinking about _____ and ______.

• 998, 1000

• 1001, 1000

• 1000, 999

• 1000, 1001

Fill in the box with '>', '<' or '='.

• >

• <

• =

• Can't be determined

Arrange the difference of shaded fractions in descending order.

• S, Q, R, P

• S, Q, P, R

• Q, S, P, R

• R, P, Q, S

Find the values of (P + R) - (Q + S).

• 2902

• 2209

• 1986

• 1890

Which of the following multiplication fact satisfies the statement below:

Garima did 125 multiplication problems last week. If she did 8 times as many as last week than this week, then how many did she do in two weeks altogether?

• 125 x 8 x 2

• 8 x 125 + 125 x 8

• 125 + 125 x 8

• 125 x 8 + 125 + 8

Sanchi forgot the four digit code of her safe. Help her to remember the code, using the given clues.

• 1085

• 1805

• 1806

• 1086