Daily Practice · Higher Plus
May 2010 - Higher Plus 5-a-day
Every Higher Plus sheet published in May 2010, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' May 2010 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 2010
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 2010A bag holds 2 red and n blue counters. The probability of taking a red is 1/4. Work out n.
- 2nd May 2010On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 3rd May 2010A block has mass 900 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4th May 2010Solve x^2 + x > 0.
- 5th May 2010A train slows steadily from 13 m/s to rest in 10 seconds. Work out its deceleration.
- 6th May 2010A cuboid measures 3 cm by 14 cm by 5 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 7th May 2010A bag holds 3 red and 8 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 8th May 2010A histogram has two bars: one 20 units wide with frequency density 1.5, one 5 units wide with density 1.4. How many values in total?
- 9th May 2010x = 35 and y = 9, each correct to the nearest whole number. Work out the upper bound of x - y.
- 10th May 2010Write x^2 - 6x - 3 in the form (x + a)^2 + b.
- 11th May 2010y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
- 12th May 2010A cuboid measures 8 cm by 6 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 13th May 2010A bag holds 6 red, 5 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 14th May 2010On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 15th May 2010A car covers 420 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 16th May 2010Work out the coordinates of the turning point of y = x^2 + 10x - 15.
- 17th May 2010y is directly proportional to x^3. When x = 4, y = 320. Work out y when x = 3.
- 18th May 2010The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.
- 19th May 2010A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/45. Work out r.
- 20th May 2010A histogram has two bars: one 5 units wide with frequency density 1.2, one 5 units wide with density 0.6. How many values in total?
- 21st May 2010Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
- 22nd May 2010Simplify (x^2 - x - 20)/(x - 5).
- 23rd May 2010y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 25.
- 24th May 2010In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 25th May 2010The probability of winning a game is 3/4. A player expects 39 wins. How many games did they play?
- 26th May 2010On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 27th May 2010Simplify sqrt(75) + sqrt(27), giving your answer in the form a sqrt(b).
- 28th May 2010In an algebraic proof, how would you write the next odd number after 2n + 1 in terms of an integer n?
- 29th May 2010A train slows steadily from 15 m/s to rest in 8 seconds. Work out its deceleration.
- 30th May 2010In a vector proof you find that vector PQ = 6a + b and vector RS = 12a + 2b. What does this show about PQ and RS?
- 31st May 2010A bag holds 5 red and n blue counters. The probability of taking a red is 5/13. Work out n.