Daily Practice

Higher Plus

28th April 1971

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

1
Bounds3 marks
A rectangle is 12 cm by 7 cm, each correct to the nearest cm. Work out the upper bound of its area.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 6x + 6.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 14 cm with an angle of 132° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 7 red, 4 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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