Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

7th January 2007

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
x = 192 and y = 108, each correct to the nearest whole number. Work out the upper bound of x - y.
2
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts -2, 5, 16, 31. Work out the second difference, and the coefficient of n^2.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 15. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 6 cm, 15 cm and 16 cm. Work out the angle opposite the 6 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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