Daily Practice · Higher Plus
November 1988 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1988 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1988
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1988Solve x^2 - 3x - 10 < 0.
- 2nd November 1988y is directly proportional to sqrt(x). When x = 4, y = 16. Work out y when x = 81.
- 3rd November 1988A cuboid measures 8 cm by 8 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4th November 1988A 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?
- 5th November 1988On 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?
- 6th November 1988x = 113 and y = 52, each correct to the nearest whole number. Work out the upper bound of x - y.
- 7th November 1988Write x^2 + 12x + 12 in the form (x + a)^2 + b.
- 8th November 1988A train slows steadily from 22 m/s to rest in 10 seconds. Work out its deceleration.
- 9th November 1988The 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.
- 10th November 1988A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 11th November 1988A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 3.5. How many values in total?
- 12th November 1988A car covers 600 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 13th November 1988Work out the coordinates of the turning point of y = x^2 + 12x + 15.
- 14th November 1988y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 15th November 1988In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 16th November 1988The probability of winning a game is 1/5. A player expects 6 wins. How many games did they play?
- 17th November 1988On 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?
- 18th November 1988Rationalise the denominator of 30/sqrt(5), giving your answer in its simplest form.
- 19th November 1988Simplify (x^2 + 3x - 10)/(x - 2).
- 20th November 1988y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 21st November 1988In a vector proof you find that vector PQ = 6a - b and vector RS = 24a - 4b. What does this show about PQ and RS?
- 22nd November 1988A bag holds 8 red and n blue counters. The probability of taking a red is 4/5. Work out n.
- 23rd November 1988A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 1.4. How many values in total?
- 24th November 1988Simplify sqrt(45) + sqrt(5), giving your answer in the form a sqrt(b).
- 25th November 1988In an algebraic proof, how would you write an odd number in terms of an integer n?
- 26th November 1988y is directly proportional to sqrt(x). When x = 25, y = 25. Work out y when x = 49.
- 27th November 1988A cuboid measures 13 cm by 3 cm by 13 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 28th November 1988A bag holds 4 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 29th November 1988On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 30th November 1988A rectangle is 17 cm by 14 cm, each correct to the nearest cm. Work out the upper bound of its area.