Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th June 2014

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 = 9, y = 12. Work out y when x = 4.
2
The Cosine Rule3 marks
A triangle has sides 7 cm, 12 cm and 11 cm. Work out the angle opposite the 7 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 4 red and n blue counters. The probability of taking a red is 2/5. Work out n.
4
Histograms3 marks
A histogram has four 10-wide classes from 0, with frequency densities 1, 0.5, 3, 2. Which class contains the median?
5
Surds3 marks
Simplify sqrt(12) + sqrt(75), giving your answer in the form a sqrt(b).

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