Daily Practice · Higher

Daily Practice - Higher

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

29th January 2020

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

1
The Product Rule for Counting3 marks
A code is 3 letters (A to Z) followed by 2 digits (0 to 9), and repeats are allowed. How many codes are possible?
2
Trigonometric and Exponential Graphs2 marks
The curve y = 6^x is drawn. Work out y when x = 5, and write down where the curve crosses the y-axis.
3
Speed and Density2 marks
A block has volume 75 cm^3 and density 8 g/cm^3. Work out its mass.
4
Vectors3 marks
a is the column vector (5, -6) and b is (-5, 1). Work out 2a - 5b as a column vector.
5
Probability Trees3 marks
7 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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