Daily Practice · Higher Plus

Daily Practice - Higher Plus

20th May 1993

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

1
Surds3 marks
Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 12x - 11.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 5, y = 36. Work out y when x = 3.
4
The Cosine Rule3 marks
A triangle has sides 8 cm, 13 cm and 10 cm. Work out the angle opposite the 8 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.

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