Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

10th June 2010

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 x^3. When x = 2, y = 48. Work out y when x = 3.
2
The Cosine Rule3 marks
A triangle has sides 10 cm, 6 cm and 7 cm. Work out the angle opposite the 10 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/7. Work out n.
4
Histograms3 marks
On a histogram the bar for 50 < x <= 55 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Simplify sqrt(75) + sqrt(75), giving your answer in the form a sqrt(b).

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