Daily Practice · Higher Plus

Daily Practice - Higher Plus

11th August 1991

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

1
Bounds3 marks
x = 167 and y = 149, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
4
The Cosine Rule3 marks
A triangle has sides of 17 cm and 15 cm with an angle of 42° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 3 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?

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