Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd September 2019

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 12 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
2
Conditional Probability3 marks
A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
3
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?
4
Bounds3 marks
x = 172 and y = 134, each correct to the nearest whole number. Work out the upper bound of x - y.
5
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 7, 23, 49, 85. Work out the second difference, and the coefficient of n^2.

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