Daily Practice · Higher Plus
November 1996 - Higher Plus 5-a-day
Printing for a group?
The batch download puts all 5 tiers' November 1996 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in November 1996
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st November 1996Work out the nth term of the quadratic sequence 4, 8, 18, 34, ...
- 2nd November 1996y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
- 3rd November 1996In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 4th November 1996The probability of winning a game is 1/10. A player expects 12 wins. How many games did they play?
- 5th November 1996A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?
- 6th November 1996A rectangle is 28 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 7th November 1996The point (3, -5) lies on y = f(x). Write down its image on y = -f(x).
- 8th November 1996y is directly proportional to sqrt(x). When x = 9, y = 12. Work out y when x = 64.
- 9th November 1996In a vector proof you find that vector PQ = 4a - 6b and vector RS = 16a - 24b. What does this show about PQ and RS?
- 10th November 1996A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
- 11th November 1996On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 12th November 1996Expand and simplify (8 + sqrt(5))(8 - sqrt(5)).
- 13th November 1996Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 14th November 1996A train slows steadily from 37 m/s to rest in 8 seconds. Work out its deceleration.
- 15th November 1996A cuboid measures 3 cm by 11 cm by 15 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 16th November 1996A bag holds 7 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 17th November 1996A histogram has two bars: one 20 units wide with frequency density 1.5, one 20 units wide with density 0.6. How many values in total?
- 18th November 1996A block has mass 580 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.
- 19th November 1996f(x) = 4x + 2 and g(x) = 5x - 9. Work out fg(6).
- 20th November 1996y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
- 21st November 1996A cuboid measures 13 cm by 10 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 22nd November 1996A bag holds 6 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 23rd November 1996On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 24th November 1996x = 175 and y = 116, each correct to the nearest whole number. Work out the upper bound of x - y.
- 25th November 1996The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 90.
- 26th November 1996y is directly proportional to x^3. When x = 4, y = 128. Work out y when x = 5.
- 27th November 1996The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 28th November 1996A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/15. Work out r.
- 29th November 1996A histogram has two bars: one 5 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 30th November 1996A car covers 330 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.