Daily Practice · Higher Plus

Daily Practice - Higher Plus

28th November 1993

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

1
Bounds3 marks
x = 104 and y = 51, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Quadratic Inequalities3 marks
Solve x^2 + 11x + 28 > 0.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 4, y = 4. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 11 cm and 17 cm with an angle of 66° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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