Daily Practice · Higher Plus
November 1952 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1952 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1952
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1952A bag holds 7 red and n blue counters. The probability of taking a red is 7/9. Work out n.
- 2nd November 1952On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 3rd November 1952A block has mass 770 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4th November 1952Work out the coordinates of the turning point of y = x^2 + 2x + 14.
- 5th November 1952A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.
- 6th November 1952A cuboid measures 13 cm by 12 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 7th November 1952A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 8th November 1952A histogram has two bars: one 5 units wide with frequency density 2, one 10 units wide with density 0.6. How many values in total?
- 9th November 1952x = 84 and y = 57, each correct to the nearest whole number. Work out the upper bound of x - y.
- 10th November 1952Simplify (x^2 - 36)/(x + 6).
- 11th November 1952y is inversely proportional to x^2. When x = 5, y = 64. Work out y when x = 4.
- 12th November 1952A cuboid measures 11 cm by 5 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 13th November 1952A bag holds 4 red, 5 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 14th November 1952On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 15th November 1952A car covers 120 m (to the nearest 10 m) in 5 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 16th November 1952In an algebraic proof, how would you write two consecutive odd numbers in terms of an integer n?
- 17th November 1952y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 5.
- 18th November 1952The 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.
- 19th November 1952A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 20th November 1952A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
- 21st November 1952Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
- 22nd November 1952Make x the subject of 4x + 7 = y(x + 7).
- 23rd November 1952y is directly proportional to sqrt(x). When x = 9, y = 18. Work out y when x = 64.
- 24th November 1952In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 25th November 1952The probability of winning a game is 3/4. A player expects 15 wins. How many games did they play?
- 26th November 1952On a histogram, a 10-wide bar and a 30-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 27th November 1952Simplify sqrt(48) + sqrt(147), giving your answer in the form a sqrt(b).
- 28th November 1952Write 7/(x + 5) + 4/(x - 6) as a single fraction.
- 29th November 1952A train slows steadily from 32 m/s to rest in 8 seconds. Work out its deceleration.
- 30th November 1952In a vector proof you find that vector PQ = 5a - 5b and vector RS = 20a - 20b. What does this show about PQ and RS?