Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

19th March 2021

5 questions · 13 marks · Grades 8-9 · 51 question types in this band

1
The Nth Term of a Quadratic Sequence2 marks
A quadratic sequence starts 12, 21, 36, 57. Work out the second difference, and the coefficient of n^2.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 13 m/s over 10 seconds. Work out the acceleration.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 9 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 4/7. Work out n.
5
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 3.5. How many values in total?

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