Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th January 2000

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 = 42. Work out y when x = 49.
2
The Cosine Rule3 marks
A triangle has sides 22 cm, 9 cm and 15 cm. Work out the angle opposite the 22 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 3, 0.5, 2. Which class contains the median?
5
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).

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