Daily Practice · Higher Plus
September 1994 - Higher Plus 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1994 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1994
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1994The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 270.
- 2nd September 1994y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
- 3rd September 1994A cuboid measures 8 cm by 6 cm by 10 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 4th September 1994A bag holds 6 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 5th September 1994A histogram has two bars: one 10 units wide with frequency density 0.4, one 25 units wide with density 3. How many values in total?
- 6th September 1994Expand and simplify (2 + sqrt(11))(2 - sqrt(11)).
- 7th September 1994A quadratic sequence starts 1, 3, 9, 19. Work out the second difference, and the coefficient of n^2.
- 8th September 1994y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 49.
- 9th September 1994The 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.
- 10th September 1994A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
- 11th September 1994On 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 September 1994A block has mass 780 g (to the nearest 10 g) and volume 17 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 13th September 1994Solve x^2 - 3x - 10 < 0.
- 14th September 1994A train slows steadily from 40 m/s to rest in 5 seconds. Work out its deceleration.
- 15th September 1994In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 16th September 1994The probability of winning a game is 1/2. A player expects 60 wins. How many games did they play?
- 17th September 1994A histogram has two bars: one 5 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?
- 18th September 1994x = 179 and y = 86, each correct to the nearest whole number. Work out the upper bound of x - y.
- 19th September 1994Write x^2 + 4x - 1 in the form (x + a)^2 + b.
- 20th September 1994y is inversely proportional to x^2. When x = 5, y = 27. Work out y when x = 3.
- 21st September 1994In a vector proof you find that vector PQ = 3a + b and vector RS = 12a + 4b. What does this show about PQ and RS?
- 22nd September 1994A bag holds 6 red and n blue counters. The probability of taking a red is 3/4. Work out n.
- 23rd September 1994On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 24th September 1994A car covers 850 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.
- 25th September 1994Work out the coordinates of the turning point of y = x^2 - 6x + 2.
- 26th September 1994y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 5.
- 27th September 1994A cuboid measures 10 cm by 5 cm by 10 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 28th September 1994A 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?
- 29th September 1994A histogram has two bars: one 10 units wide with frequency density 2.5, one 20 units wide with density 3.5. How many values in total?
- 30th September 1994Rationalise the denominator of 30/sqrt(3), giving your answer in its simplest form.