Daily Practice · Higher Plus
March 2002 - Higher Plus 5-a-day
Every Higher Plus sheet published in March 2002, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' March 2002 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 2002The point (7, 24) lies on the circle x^2 + y^2 = 625. Work out the gradient of the tangent to the circle at that point.
- 2nd March 2002A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/3. Work out r.
- 3rd March 2002A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 4th March 2002A block has mass 620 g (to the nearest 10 g) and volume 14 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 5th March 2002Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 6th March 2002y is directly proportional to sqrt(x). When x = 25, y = 30. Work out y when x = 36.
- 7th March 2002In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 8th March 2002The probability of winning a game is 7/8. A player expects 56 wins. How many games did they play?
- 9th March 2002On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 10th March 2002x = 169 and y = 14, each correct to the nearest whole number. Work out the upper bound of x - y.
- 11th March 2002f(x) = 3x + 9 and g(x) = 5x - 9. Work out fg(-1).
- 12th March 2002A train slows steadily from 24 m/s to rest in 5 seconds. Work out its deceleration.
- 13th March 2002In a vector proof you find that vector PQ = 6a - b and vector RS = 18a - 3b. What does this show about PQ and RS?
- 14th March 2002A bag holds 7 red and n blue counters. The probability of taking a red is 7/13. Work out n.
- 15th March 2002A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 0.8. How many values in total?
- 16th March 2002A car covers 270 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 17th March 2002The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 0.
- 18th March 2002y is inversely proportional to x^2. When x = 4, y = 75. Work out y when x = 5.
- 19th March 2002A cuboid measures 13 cm by 5 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 20th March 2002A bag holds 6 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 21st March 2002On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 22nd March 2002Rationalise the denominator of 27/sqrt(3), giving your answer in its simplest form.
- 23rd March 2002A quadratic sequence starts -3, 5, 21, 45. Work out the second difference, and the coefficient of n^2.
- 24th March 2002y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 3.
- 25th March 2002A cuboid measures 11 cm by 9 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 26th March 2002A bag holds 7 red, 4 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 27th March 2002A histogram has two bars: one 5 units wide with frequency density 0.4, one 25 units wide with density 0.6. How many values in total?
- 28th March 2002Simplify sqrt(48) + sqrt(108), giving your answer in the form a sqrt(b).
- 29th March 2002Solve x^2 + 7x < 0.
- 30th March 2002y is directly proportional to sqrt(x). When x = 36, y = 48. Work out y when x = 9.
- 31st March 2002The point (10, 24) lies on the circle x^2 + y^2 = 676. Work out the gradient of the tangent to the circle at that point.