Daily Practice · Higher Plus

Daily Practice - Higher Plus

2nd May 1993

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 61 and y = 38, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -3, -1, 3, 9. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 2, y = 16. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 5 cm with an angle of 98° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 4 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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