Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

17th March 2013

5 questions · 14 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 10 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 43 and y = 8, each correct to the nearest whole number. Work out the upper bound of x - y.
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 12, 30, 58, 96. Work out the second difference, and the coefficient of n^2.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 150. Work out the positive value of x when y = 216.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 9 cm by 9 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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