Daily Practice · Higher Plus
November 1968 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1968 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1968The probability of winning a game is 1/4. A player expects 20 wins. How many games did they play?
- 2nd November 1968On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 3rd November 1968x = 55 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.
- 4th November 1968Solve 8x^2 - 26x + 15 = 0.
- 5th November 1968y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 6th November 1968In a vector proof you find that vector PQ = 3a + 5b and vector RS = 9a + 15b. What does this show about PQ and RS?
- 7th November 1968A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
- 8th November 1968A histogram has two bars: one 5 units wide with frequency density 2.5, one 20 units wide with density 1.4. How many values in total?
- 9th November 1968A car covers 300 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 10th November 1968f(x) = 6x - 7. Work out the inverse function f^-1(x).
- 11th November 1968y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 9.
- 12th November 1968A cuboid measures 9 cm by 15 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th November 1968A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 14th November 1968On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 15th November 1968Rationalise the denominator of 24/sqrt(2), giving your answer in its simplest form.
- 16th November 1968Solve x^2 + y^2 = 25 and y = x - 1 simultaneously.
- 17th November 1968A train slows steadily from 34 m/s to rest in 10 seconds. Work out its deceleration.
- 18th November 1968A cuboid measures 13 cm by 7 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th November 1968A bag holds 5 red, 7 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th November 1968A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 3. How many values in total?
- 21st November 1968Simplify sqrt(27) + sqrt(3), giving your answer in the form a sqrt(b).
- 22nd November 1968Use the iteration x(n+1) = cube root of (7x(n) + 9) with x(0) = 2. Work out x(1) to 3 decimal places.
- 23rd November 1968y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.
- 24th November 1968The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 25th November 1968A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 15/22. Work out r.
- 26th November 1968On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 27th November 1968A rectangle is 24 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 28th November 1968Work out the nth term of the quadratic sequence -7, -2, 9, 26, ...
- 29th November 1968y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 2.
- 30th November 1968In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.