Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

1st May 2025

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Simplify sqrt(50) + sqrt(32), giving your answer in the form a sqrt(b).
3
Algebraic Fractions3 marks
Write 3/(x + 3) + 4/(x - 4) as a single fraction.
4
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 4 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 5b and vector RS = 6a - 10b. What does this show about PQ and RS?

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