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UK
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Team Maths Challenge
2014
Regional Final
Supervisor’s booklet
Please ensure that students do not have access to this
booklet, and take care to hold it so that answers cannot
be seen.
Please ensure that students use blue or black ink to
write their answers; teachers are asked to use red ink
for marking.
Shuttle
A1
answers
B1
5
A2
19
B2
7
A3
C2
B3
A4
21
D2
75
D3
120
30
C4
224
20
25
C3
B4
1.5
or 23
or 1 12
333
55
14
D1
C1
D4
165
96
On the students’ response sheet please circle the mark awarded for each part of the
question (either 3, 1 or 0), and cross out the other marks.
The flowchart opposite explains the order in which questions should be marked.
2
Team Maths Challenge 2014
Regional Final
Shuttle
Start
Give out the
questions and
record sheet
flowchart
Key
pair X have questions 1 and 3 in the current round
pair Y have questions 2 and 4
The record sheet passes in turn from
pair to pair.
Having completed all questions, pair Y
finally hands in the sheet for marking.
Correct
Award 3 marks if correct first time,
otherwise award 1 mark
Award 3 marks if correct first time,
otherwise award 1 mark
Hand back to
pair X
Check
question 2
Wrong
Hand back to
pair Y
Already marked
correct
Correct
Award 3 marks if correct first time,
otherwise award 1 mark
Check
question 3
Wrong
Hand back to
pair X
Already marked
correct
Correct
Regional Final
Wrong
The pairs can now
take the opportunity
to amend incorrect
and subsequent
answers.
Already marked
correct
Correct
Award 3 marks if correct first time,
otherwise award 1 mark
Check
question 1
Whistles
bonus 6 minutes
final 8 minutes
Check
question 4
Wrong
Award a bonus of 3 marks if all
correct (at the first or later
attempt) before the 6 minute
whistle
Team Maths Challenge 2014
Hand back to
pair Y
maximum
score 15
3
Crossnumber
1
2
5
3
6
7
8
9
11
12
14
10
13
15
16
17
19
4
18
20
21
23
25
22
24
26
Across
Down
1. 75% of 4 Down (3)
3. A seventh power (4)
5. An angle of an isosceles triangle that has
68° as one of its angles (2)
6. A multiple of the sum of its digits (3)
7. A square number multiplied by
24 Across (3)
9. The largest three-digit Fibonacci number (3)
12. The sum of its digits is 15 Down (3)
14. The product of an even square and a
prime (2)
16. Twenty less than 5 Across (2)
17. A multiple of 15 Down (3)
19. The product of 28 and the previous
triangular number (3)
21. A square number (3)
23. Its digits sum to ten (3)
24. Half of 9 Down (2)
25. The number of minutes in four days (4)
26. The mean of 1 Down and 9 Across (3)
1. The product of all the primes in the
twenties (3)
2. Six more than 1 Across (3)
3. A factor of 3 Across (2)
4. The product of an even cube and a prime (3)
8. The next prime after 24 Across (2)
9. Twice a prime number (2)
10. 11 Down minus 3 Across (4)
11. The product of two consecutive triangular
numbers (4)
13. The sum of all the factors of 28 (2)
15. The sum of the fourth powers of two
different numbers (2)
17. Half of 5 Across (2)
18. A square number that is also a triangular
number (2)
20. The remainder when 11 Down is divided by
3 Across (3)
21. A power of two (3)
22. 9 Across minus 40 (3)
23. 13 Down minus 16 Across (2)
4
Team Maths Challenge 2014
Regional Final
Crossnumber
answers
1
5
5
6
6
7
7
11
9
14
5
5
8
5
5
6
1
2
2
8
7
1
12
8
7
13
5
2
6
0
8
9
8
4
16
3
3
6
8
7
6
22
9
4
2
10
8
24
2
26
7
3
18
1
2
4
0
6
21
23
1
7
2
8
6
2
9
1
17
20
3
15
0
25
6
3
5
19
0
2
7
7
Marking Instructions—a reminder
• Pairs may only communicate through the teacher, and only to request
that the other pair works on a particular clue.
• When a pair enters an answer in the Answer Grid, the teacher checks
each digit of the answer:
– if it is correct, place a tick in the dotted circle and award one mark
– if it is wrong, cross it out, write in the correct digit, and place a
cross in the dotted circle
– the correct answer is then shown to both pairs so that they are
up-to-date.
• A pair may enter just one digit if they wish, rather than a complete
answer.
• A pair may sacrifice a square, by guessing, if they wish.
Regional Final
Team Maths Challenge 2014
5
Group Round
1.
Number of coins:
answers
6.
Number of teams:
102
2.
Number of degrees:
8
7.
Size of angle:
80
60
degrees
3.
Number of days:
8.
Length of rectangle:
14
25
cm
4.
Number of ways:
9.
Smallest number:
12
5.
Amount of money:
36
10.
Sum of each pair:
24
313
£
6
Team Maths Challenge 2014
Regional Final
Relay
score sheet
Team number
A1
B1
A2
B2
A3
B3
A4
B4
A5
B5
Team Maths Challenge 2014
Regional Final
School name
2
1
A6
0
2
150 m
5, 8, 9, 9, 9
48
2
Monday
12
4
4 st 13 lb
7.65 km
2
B6
0
2
A7
0
2
B7
0
2
A8
0
2
B8
0
2
A9
0
2
B9
0
2
A10
0
2
0
B10
270
3
52
4 ft 8 in
(5, 5), (6, 7)
16
7
100
12th October
54 cm
2
A11
0
2
B11
0
2
A12
0
2
B12
0
2
A13
0
2
B13
0
2
A14
0
2
B14
0
2
A15
0
2
0
Correct answers score 2 points: circle 2 or 0 for each question
and cross out the other number.
At the end of the round, draw a line under the last question attempted.
B15
64 °
0.6
8
125 °
£ 120
33
1.7
40 °
526000
(0, 7), (4, 5)
Final score /60
2
0
2
0
2
0
2
0
2
0
2
0
2
0
2
0
2
0
2
0
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PAGE