Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

12th September 2024

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
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 9 cm and an area of 58.46 cm^2. Work out the acute angle between those two sides, to the nearest degree.
3
Probability Equation Questions3 marks
A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 1/66. Work out r.
4
Histograms3 marks
On a histogram the bar for 10 < x <= 30 has a frequency density of 2.4. How many values are in that class?
5
Surds3 marks
Simplify sqrt(32) + sqrt(32), giving your answer in the form a sqrt(b).

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