Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st February 2017

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 = 3, y = 108. Work out y when x = 4.
2
Finding the Area of Any Triangle3 marks
A triangle has sides of 11 cm and 6 cm and an area of 23.33 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
4
Histograms3 marks
On a histogram the bar for 30 < x <= 35 has a frequency density of 1.5. How many values are in that class?
5
Surds3 marks
Expand and simplify (4 + sqrt(7))(4 - sqrt(7)).

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