Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

25th January 2000

5 questions · 14 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 1.2, one 10 units wide with density 0.8. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
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 = 360.
4
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 28. Work out the positive value of x when y = 448.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 13 cm by 5 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.

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