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2013CTMCRelayProblems

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(1)

0 (a). Evaluate 3

2

−1 22 .

0 (b). Let t=TNYWR.

Determine the perimeter of the rectangle below.

t

2t+5

0 (c). Let t=TNYWR.

In the quadratic equation x2 tx6t2

(2)

1 (a). In the sequence, 1,3,5,7, . . ., each term after the first is two larger than the previous term.

What is the sum of the first 12 terms in this sequence?

1 (b). Let t=TNYWR.

The point (k, t) is on the line 3x−y 6 = 0. Find the value of k.

1 (c). Let t=TNYWR.

(3)

2 (a). Evaluate

Peter lists the prime numbers in increasing order. Determine the average of the 2tth and 2t+ 1th numbers in his list.

2 (c). Let t=TNYWR.

In the diagram, D lies on side BC of △ABC with AD perpendicular to BC.

(4)

3 (a). In the sum

2 0 A B + 1 3 A B 3B 0 8

, A and B are non-zero digits.

Determine the value of A.

3 (b). Let t=TNYWR.

The lines x+y = k and xty = −8 intersect on the line y = x. Determine the value of k.

3 (c). Let t=TNYWR.

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