Daily Practice · Higher Plus
November 1959 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1959 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1959
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1959A bag holds 6 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 2nd November 1959On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 3rd November 1959Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
- 4th November 1959Simplify (x^2 - 4x - 12)/(x - 6).
- 5th November 1959y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 2.
- 6th November 1959A cuboid measures 11 cm by 14 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 7th November 1959A bag holds 3 red, 5 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 8th November 1959A histogram has two bars: one 10 units wide with frequency density 0.4, one 10 units wide with density 3. How many values in total?
- 9th November 1959A block has mass 260 g (to the nearest 10 g) and volume 16 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 10th November 1959In an algebraic proof, how would you write a multiple of 6 in terms of an integer n?
- 11th November 1959y is directly proportional to sqrt(x). When x = 36, y = 30. Work out y when x = 25.
- 12th November 1959The 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.
- 13th November 1959A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
- 14th November 1959On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 15th November 1959x = 130 and y = 37, each correct to the nearest whole number. Work out the upper bound of x - y.
- 16th November 1959Make x the subject of 7x + 8 = y(x + 8).
- 17th November 1959A train slows steadily from 17 m/s to rest in 8 seconds. Work out its deceleration.
- 18th November 1959In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 19th November 1959The probability of winning a game is 1/8. A player expects 8 wins. How many games did they play?
- 20th November 1959A histogram has two bars: one 5 units wide with frequency density 2.5, one 5 units wide with density 0.6. How many values in total?
- 21st November 1959A car covers 810 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.
- 22nd November 1959Write 4/(x + 1) + 3/(x - 1) as a single fraction.
- 23rd November 1959y is inversely proportional to x^2. When x = 4, y = 9. Work out y when x = 3.
- 24th November 1959In a vector proof you find that vector PQ = a + b and vector RS = 5a + 5b. What does this show about PQ and RS?
- 25th November 1959A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
- 26th November 1959On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 27th November 1959Rationalise the denominator of 30/sqrt(6), giving your answer in its simplest form.
- 28th November 1959Solve 15x^2 - 19x - 10 = 0.
- 29th November 1959y is directly proportional to x^3. When x = 2, y = 40. Work out y when x = 5.
- 30th November 1959A cuboid measures 3 cm by 7 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.