Daily Practice · Higher Plus

Daily Practice - Higher Plus

12th March 1997

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

1
Bounds3 marks
A rectangle is 27 cm by 16 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Proof3 marks
Prove that the sum of 5 consecutive integers is always a multiple of 5. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 12. Work out y when x = 2.
4
The Cosine Rule3 marks
A triangle has sides of 10 cm and 16 cm with an angle of 56° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 4 red, 7 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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