Daily Practice · Higher

Daily Practice - Higher

Grades 6-7 - Higher-tier method and manipulation.

26th March 2023

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
The Product Rule for Counting2 marks
A meal deal has 9 mains, 6 sides and 4 drinks. How many different meals are possible?
2
Trigonometric and Exponential Graphs2 marks
The curve y = 6^x is drawn. Work out y when x = 4, and write down where the curve crosses the y-axis.
3
Direct and Inverse Proportion3 marks
y is inversely proportional to x. When x = 5, y = 20. Work out y when x = 10.
4
Vectors3 marks
a is the column vector (-1, 2) and b is (-5, 6). Work out 2a - 3b as a column vector.
5
Probability Trees3 marks
6 of 10 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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