Daily Practice - Higher Plus
Grades 8-9 - exam-stretch algebra, geometry and reasoning.
8th November 2023
- 1Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
- 2Bounds3 marks
A rectangle is 30 cm by 12 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3Completing the Square3 marks
Write x^2 + 6x + 1 in the form (x + a)^2 + b.
- 4Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 2, y = 16. Work out the positive value of x when y = 144.
- 5Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + b and vector RS = 2a + 2b. 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.
Recent Higher Plus sheets
Every sheet is deterministic: the same date always regenerates the same five questions. All of November 2023, including the monthly compilation PDF.