Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd October 2017

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 80 and y = 35, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Factorising Harder Quadratics3 marks
Solve 20x^2 - 27x + 9 = 0.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 64. Work out the positive value of x when y = 16.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 7 cm by 4 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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