Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

21st February 2021

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

1
Histograms2 marks
On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
x = 192 and y = 156, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Algebraic Fractions3 marks
Write 5/(x - 1) + 6/(x - 2) as a single fraction.
4
Velocity Time Graphs3 marks
A tram runs at 12 m/s for 20 s, then slows steadily to rest over 10 s. Work out its average speed for the whole journey, to 2 decimal places.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 4b and vector RS = 12a + 16b. 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 February 2021, including the monthly compilation PDF.