Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th February 2019

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(80) + sqrt(45), giving your answer in the form a sqrt(b).
3
Completing the Square3 marks
Work out the coordinates of the turning point of y = x^2 - 10x - 12.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 48. Work out the positive value of x when y = 108.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 8 cm by 5 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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