Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

3rd January 2019

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

1
Histograms2 marks
On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Surds3 marks
Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).
3
Transforming Graphs y=f(x)3 marks
The point (4, -2) lies on y = f(x). Write down its image on y = f(x + 4).
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 9 m/s to 15 m/s over 10 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a + 6b and vector RS = 12a + 24b. 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 January 2019, including the monthly compilation PDF.