Daily Practice · Higher Plus
November 1994 - Higher Plus 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1994 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1994A train slows steadily from 16 m/s to rest in 4 seconds. Work out its deceleration.
- 2nd November 1994A cuboid measures 5 cm by 6 cm by 4 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 3rd November 1994A bag holds 5 red, 7 blue and 2 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 4th November 1994A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
- 5th November 1994A car covers 900 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 6th November 1994Solve x^2 + y^2 = 100 and y = x + 2 simultaneously.
- 7th November 1994y is inversely proportional to x^2. When x = 4, y = 18. Work out y when x = 3.
- 8th November 1994The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 9th November 1994A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.
- 10th November 1994On 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?
- 11th November 1994Rationalise the denominator of 49/sqrt(7), giving your answer in its simplest form.
- 12th November 1994Use the iteration x(n+1) = cube root of (3x(n) + 6) with x(0) = 1. Work out x(1) to 3 decimal places.
- 13th November 1994y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 5.
- 14th November 1994In 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.
- 15th November 1994The probability of winning a game is 3/5. A player expects 12 wins. How many games did they play?
- 16th November 1994A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 1.4. How many values in total?
- 17th November 1994Simplify sqrt(12) + sqrt(48), giving your answer in the form a sqrt(b).
- 18th November 1994Work out the nth term of the quadratic sequence -4, -3, 0, 5, ...
- 19th November 1994y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 36.
- 20th November 1994In a vector proof you find that vector PQ = 6a + 3b and vector RS = 24a + 12b. What does this show about PQ and RS?
- 21st November 1994A bag holds 7 red and n blue counters. The probability of taking a red is 7/15. Work out n.
- 22nd November 1994On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 23rd November 1994A rectangle is 26 cm by 28 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 24th November 1994The point (5, 2) lies on y = f(x). Write down its image on y = -f(x).
- 25th November 1994A train slows steadily from 26 m/s to rest in 5 seconds. Work out its deceleration.
- 26th November 1994A cuboid measures 5 cm by 5 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 27th November 1994A bag holds 7 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 28th November 1994A histogram has two bars: one 5 units wide with frequency density 1.5, one 25 units wide with density 1.4. How many values in total?
- 29th November 1994Expand and simplify (2 + sqrt(7))(2 - sqrt(7)).
- 30th November 1994Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.