Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

22nd February 2022

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 1.5, one 20 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(7))(7 - sqrt(7)).
3
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 2, 9, 20, 35. 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 = 4, y = 64. Work out the positive value of x when y = 196.
5
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 15 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.

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