AHA 2023 MATHS COMPETITION - FINAL ROUND

Alpha

10

Simplify x²-1

(x-1)(x+1)

20

Simplify 7^1.5 x 49^1.75

7⁵

30

Find the roots of the equation 2x²-3a-27=0

9/2 or -3

40

A fair die is tossed once. what is the probability of obtaining neither 5 nor 2

2/3

50

Find the nth term of a sequence 2, 4, 6,...

2n

Beta

10

Find the median of the set of numbers 12, 15, 13, 14, 12, 12

12.5

20

Express 1975 correct to 2 significant figure

2000

30

y varies directly as w². When y= 8, w=6. find y when w=3

2

40

If gt-k-w=0, make g the subject of the formula

k + w/t

50

Evaluate 1.25 x 0.025/0.05

0.5

Gamma

10

The bearing S40⁰E is the same as

140⁰

20

What is the probability of having an odd number in single toss of a fair die?

1/2

30

In a survay of 50 newspaper readers, 40 read punch and 30 read Guadian, how many read both papers?

20

40

A point X is on the bearing 342⁰ from a point Y. what is the bearing of Y from X?

162⁰

50

Simplify x⁰

1

Delta

10

simplify x^-1

1/x

20

solve 4x=8

2

30

Approximate 0.00003367 to 3 significant figure

0.0000337

40

Find the gradient of the line joining the point (5,6) and Q(3,3)

3/2

50

Find the midpoint of S(-5,4) and T(-3,-2)

-4,1