Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd April 2006

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

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 9.
2
The Cosine Rule3 marks
A triangle has sides 15 cm, 7 cm and 16 cm. Work out the angle opposite the 15 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 1/2. Work out n.
4
Histograms3 marks
A histogram has four 20-wide classes from 0, with frequency densities 1, 2, 0.5, 3. Which class contains the median?
5
Bounds3 marks
x = 142 and y = 85, each correct to the nearest whole number. Work out the upper bound of x - y.

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