Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd August 2014

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 0.4, one 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 31 and y = 11, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 4, y = 32. Work out the positive value of x when y = 8.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 9 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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