Daily Practice

Higher Plus

15th April 1954

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

1
Surds3 marks
Simplify sqrt(8) + sqrt(98), 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 - 8x - 13.
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 64. Work out y when x = 4.
4
The Cosine Rule3 marks
A triangle has sides 17 cm, 13 cm and 15 cm. Work out the angle opposite the 17 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.

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