JMC 2016 Challenge

1. Which of the following is closest to zero?

2. What number is twenty-one less than sixty thousand?

3. One lap of a standard running track is 400 m.
How many laps does each athlete run in a 5000 m race?

A:
B:
C:
D:

4. In January 1859, an eight-year-old boy dropped a newly-hatched eel in to a well in Sweden (apparently in order to keep the water free of insects).

The eel, named Åle, finally died in August 2014.

How many years old was Åle when it died?

A:
B:
C:
D:
E:

5.

A:
B:
C:
D:
E:

6. Gill is now 28 years old and is a teacher of Mathematics at a school which has 600 pupils. There are 30 more girls than boys at the school.

How many girls are at Gill’s school?

A:
B:
C:
D:
E:

7. A distance of 8 km is approximately 5 miles.

Which of the following is closest to 1.2 km?

8. What is the value of

A:
B:
C:
D:
E:

9. One of the three symbols +, −, × is inserted somewhere between the digits of 2016 to give a new number. For example, 20 − 16 gives 4.

How many of the following four numbers can be obtained in this way?

36  195  207  320

A:
B:
C:
D:
E:

10. A square is folded exactly in half and then in half again. Which of the following could not be the resulting shape?

A:
B:
C:
D:
E:

11. Which of the following statements is false?

12. The musical Rent contains a song that starts “Five hundred and twenty five thousand six hundred minutes”.

Which of the following is closest to this length of time?

13. The diagram shows five circles placed at the corners of a pentagon.

The numbers 1, 2, 3, 4, 5 are placed in the circles shown, one in each, so that the numbers in adjacent circles always differ by more than 1.

What is the sum of the numbers in the two circles adjacent to the circle which contains the number 5?

A:
B:
C:
D:
E:

14. In the diagram, AB = AC and D is a point on AC such that BD = BC. Angle BAC is 40°.

What is angle ABD ?

A:
B:
C:
D:
E:

15. How many of these four expressions are perfect squares?

A:
B:
C:
D:
E:

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