Daily Practice · Higher Plus
November 1984 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1984 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1984
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1984A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 1/21. Work out r.
- 2nd November 1984On 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?
- 3rd November 1984A car covers 130 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.
- 4th November 1984The point (-6, 5) lies on y = f(x). Write down its image on y = f(x) - 4.
- 5th November 1984A train slows steadily from 25 m/s to rest in 5 seconds. Work out its deceleration.
- 6th November 1984In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 7th November 1984The probability of winning a game is 1/4. A player expects 6 wins. How many games did they play?
- 8th November 1984A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 3.5. How many values in total?
- 9th November 1984Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
- 10th November 1984Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 11th November 1984y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 6.
- 12th November 1984In a vector proof you find that vector PQ = 5a + 5b and vector RS = 20a + 20b. What does this show about PQ and RS?
- 13th November 1984A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
- 14th November 1984On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 15th November 1984Simplify sqrt(12) + sqrt(27), giving your answer in the form a sqrt(b).
- 16th November 1984f(x) = 4x + 9 and g(x) = 2x - 5. Work out fg(3).
- 17th November 1984y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 5.
- 18th November 1984A cuboid measures 4 cm by 9 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 19th November 1984A bag holds 8 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 20th November 1984A histogram has two bars: one 10 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 21st November 1984A rectangle is 23 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 22nd November 1984The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 23rd November 1984y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 25.
- 24th November 1984A cuboid measures 9 cm by 5 cm by 12 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 25th November 1984A bag holds 6 red, 3 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 26th November 1984On 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?
- 27th November 1984Expand and simplify (8 + sqrt(11))(8 - sqrt(11)).
- 28th November 1984A quadratic sequence starts -3, -1, 3, 9. Work out the second difference, and the coefficient of n^2.
- 29th November 1984A train slows steadily from 14 m/s to rest in 5 seconds. Work out its deceleration.
- 30th November 1984The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.