Daily Practice · Higher Plus

Daily Practice - Higher Plus

5th March 1996

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

1
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 6x - 2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 36.
4
The Cosine Rule3 marks
A triangle has sides 18 cm, 13 cm and 9 cm. Work out the angle opposite the 18 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 6/13. Work out n.

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