Daily Practice · Higher Plus
November 1966 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1966 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1966On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 2nd November 1966A rectangle is 8 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 3rd November 1966In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 4th November 1966A train slows steadily from 26 m/s to rest in 5 seconds. Work out its deceleration.
- 5th November 1966The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 6th November 1966A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
- 7th November 1966A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.6. How many values in total?
- 8th November 1966Expand and simplify (9 + sqrt(7))(9 - sqrt(7)).
- 9th November 1966Make x the subject of 5x + 6 = y(x + 6).
- 10th November 1966y is inversely proportional to x^2. When x = 3, y = 25. Work out y when x = 5.
- 11th November 1966In a circle theorem proof, a step uses the fact that a tangent meets a radius at the point of contact. State the reason being quoted.
- 12th November 1966The probability of winning a game is 3/4. A player expects 42 wins. How many games did they play?
- 13th November 1966On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 14th November 1966A block has mass 260 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 15th November 1966Write 7/(x - 3) + 2/(x - 2) as a single fraction.
- 16th November 1966y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 5.
- 17th November 1966In a vector proof you find that vector PQ = 6a + b and vector RS = 30a + 5b. What does this show about PQ and RS?
- 18th November 1966A bag holds 6 red and n blue counters. The probability of taking a red is 3/7. Work out n.
- 19th November 1966A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 3.5. How many values in total?
- 20th November 1966x = 133 and y = 61, each correct to the nearest whole number. Work out the upper bound of x - y.
- 21st November 1966Solve 3x^2 - 7x + 4 = 0.
- 22nd November 1966y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 16.
- 23rd November 1966A cuboid measures 10 cm by 11 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 24th November 1966A bag holds 4 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 25th November 1966On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 26th November 1966A car covers 530 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.
- 27th November 1966f(x) = 5x + 10. Work out the inverse function f^-1(x).
- 28th November 1966A train slows steadily from 12 m/s to rest in 4 seconds. Work out its deceleration.
- 29th November 1966A cuboid measures 8 cm by 11 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 30th November 1966A bag holds 5 red, 4 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?