Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th June 1998

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
3
Quadratic Inequalities3 marks
Solve x^2 + 2x - 3 > 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 27.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 5 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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