Daily Practice

Higher Plus

26th September 1965

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

1
Bounds3 marks
x = 178 and y = 56, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 + 14x - 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 = 5.
4
The Cosine Rule3 marks
A triangle has sides of 14 cm and 16 cm with an angle of 96° between them. Work out the third side, to 1 decimal place.
5
Conditional Probability3 marks
A bag holds 6 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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