Daily Practice

Higher Plus

23rd April 1964

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

1
Algebraic Fractions3 marks
Simplify (x^2 - 2x - 3)/(x - 3).
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 14 m/s over 20 seconds. Work out the acceleration.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 6 cm by 13 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
4
Conditional Probability3 marks
A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?

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