Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd June 2015

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(3))(4 - sqrt(3)).
3
Completing the Square3 marks
Write x^2 + 10x + 4 in the form (x + a)^2 + b.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 2 m/s to 22 m/s over 8 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 3b and vector RS = 15a - 15b. What does this show about PQ and RS?

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