Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

23rd December 2003

5 questions · 13 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 2, one 20 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
3
Trigonometric and Exponential Graphs2 marks
The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 25 m/s over 10 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 5b and vector RS = 15a - 15b. What does this show about PQ and RS?

You are looking at an earlier sheet. Today's sheet is the one that adds a day.

Your run is kept in this browser only, and there is no account.

Every sheet is deterministic: the same date always regenerates the same five questions. All of December 2003, including the monthly compilation PDF.