Daily Practice · Higher Plus

Daily Practice - Higher Plus

17th March 1996

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

1
Bounds3 marks
x = 144 and y = 98, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 5 in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 144. Work out y when x = 6.
4
The Cosine Rule3 marks
A triangle has sides of 5 cm and 18 cm with an angle of 83° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 red, 6 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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