Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

4th December 2022

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 2.
2
The Cosine Rule3 marks
A triangle has sides 21 cm, 10 cm and 13 cm. Work out the angle opposite the 21 cm side, to 1 decimal place.
3
Probability Equation Questions3 marks
A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
4
Histograms3 marks
On a histogram the bar for 60 < x <= 80 has a frequency density of 3.5. How many values are in that class?
5
Bounds3 marks
x = 116 and y = 56, each correct to the nearest whole number. Work out the upper bound of x - y.

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