Daily Practice · Higher Plus

Daily Practice - Higher Plus

7th April 1992

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

1
Surds3 marks
Expand and simplify (4 + sqrt(10))(4 - sqrt(10)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 6x + 14.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 16. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides of 13 cm and 12 cm with an angle of 27° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 5 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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