## December 2016 Logic & Maths Problems

1. You’ve just tossed a coin and it has come up “heads” three times in a row. What chance does it have of coming up “heads” in the next toss?

2.

Eight teams play each other twice. How many games are there?

3.
A plane takes off at noon and heads due north at a constant 200 km/hr. A second plane takes off from the same airport at 1 pm, heading due north at 300 km/hr. At what time of day will the second plane overtake the first?

4.

Why are manhole covers in roads round and not square?

5. What is the next number in the sequence? 2,5,10,17,….

6. What is the next number in this sequence? Two thirds, one and a half, two and two fifths, three and one third, ——

7.
At a Pet Show recently I noticed that all except two of the entries were cats, all except two were dogs, and all except two were fish. How many of each animal were at the Pet Show?

8.
The numbers on the right hand column of this table are each formed from the corresponding number in the left hand column using the same rule.
Write the value of x.

9. Red, purple and green balls have different values. The total value of each of the first three rows is shown. What is the value of x?

10.
The numbers on the right hand column of this table are each formed from the corresponding number in the left hand column using the same rule.
Write the value of x.

SOLUTIONS