Daily Practice · Higher Plus

Daily Practice - Higher Plus

22nd January 1995

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 61 and y = 30, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 10x - 4.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 18 cm with an angle of 76° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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