## Pixymaths Example GCSE Maths Questions and Answers |
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No. |
Grade |
Question |

1 | E | Angles - Q3Calculate and write down the value of the letters x,y and z | ClickHere For Answer |

2 | A* | Functions Using Quadratics - Q18Sketch the graph of f(x) = x ^{2 }+ 2x – 3. On the same set of axes sketch:(a) f(x ) + 2 (b) 2f(x) | ClickHere For Answer |

3 | CB | Graphs (Quadratics and Cubics) - Q1Complete the following table and hence draw the graph of y = x ^{2} – 6x + 5. Hence solve x ^{2} – 6x + 5 = 0. | ClickHere For Answer |

4 | F | Time - Q38I need to catch the 1917 train. If I ring for a taxi and the taxi journey to the station takes 24 minutes, at what time do I need the taxi in order to arrive at the station with 5 minutes to spare? | ClickHere For Answer |

5 | B | Speed, Distance, Time - Q19A swallow flies at a speed of 50 km/h for 3 hours and then a speed of 40 km/h for a further 2 hours. Find the average speed for the whole journey. | ClickHere For Answer |

6 | C | Problems Requiring Equations - Q11If 5 times a number is subtracted from 8 more than 7 times a number, the result is 24. Find the number. | ClickHere For Answer |

7 | C | Area and Circumferance of Circles - Q24A running track has two semi-circular ends of radius 28 m and two straight sides. The perimeter of the track is 400 m. Calculate a) the length of each curve and b) the length of each straight. | ClickHere For Answer |

8 | C | Bearings - Q26a) What is the bearing of C from B? b) What is the bearing of A from B? | ClickHere For Answer |

9 | C | Locus - Q1Draw the locus of the points that satisfy the given conditions: (a) Points 3 cm from a given point. (b) Points 1 cm from a given straight line, assumed to continue indefinitely in each direction. (c) Points equidistant from two fixed points, C and D, where CD = 4 cm. (d) Points equidistant from two straight lines EF and EG. | ClickHere For Answer |

10 | A* | Sine & Cosine Graphs - Q4Draw the graph of y = 2 – sin ^{1}/_{2} x, for 0° ≤ x ≤ 360°. When x = 60°, y = 1 ^{1}/_{2} . What is the other value of x for which y = 1^{1}/_{2} ? | ClickHere For Answer |

11 | E | Symmetry - Q31Copy and complete the shapes so that the two black lines are the axes of symmetry. The shape is in blue. | ClickHere For Answer |

12 | C | Transformations - Q18Draw the triangle with the following coordinates:- (– 3, 1), (– 8, 5), (– 10, – 2). (a) Using (0,0) as the centre of rotation, rotate it through 90° anticlockwise. (b) Rotate this new image 90° clockwise, using (1, – 4) as the centre of rotation. (c) What transformation maps the original triangle directly on to the answer to part (b)? | ClickHere For Answer |

13 | C | Time Distance Graphs - Q5The following graph shows a journey: (a) How far was the cyclist from home after (i) 45 min (ii) 1 hr 15 min (iii) 1 hr 30 min? (b) The cyclist’s first stop was at Dorton. (i) How far is Dorton from the cyclist’s home? (ii) For how long did he stop at Dorton? (c) What was the cyclist’s average speed (i) from home to Dorton? (ii) from Dorton to the end of his journey? | ClickHere For Answer |

14 | A* | Vectors - Q1 | ClickHere For Answer |

15 | B | Trigonometry - Q64An aircraft flies 400 km from a point O on a bearing of 025° and then 700 km on a bearing of 080° to arrive at B. (a) How far north of O is B? (b) How far east of O is B? (c) Find the distance and bearing of B from O. | ClickHere For Answer |

16 | B | Cumulative Frequency Graphs - Q14Draw a cumulative frequency curve for the following distribution of ages of workers in a factory:- (a) Which is the modal class? (b) What is the interquartile range? (c) What is the probability that a worker chosen at random will be 30 or more? (d) What is the probability that a worker chosen at random will be in the top two class intervals? (e) Estimate the median. | ClickHere For Answer |

17 | A | Histograms - Q12The following table and histogram show the daily takings of a shop over a period of time. Fill in the missing entries in the table and the missing bars on the histogram. | ClickHere For Answer |

18 | D | pie Charts - Q18The bar chart above shows the number of different milk shakes sold in an hour. Draw a pie chart to show the information. | ClickHere For Answer |

19 | D | Probability using tables - Q4200 men and women were asked which of two political parties, A or B, they would vote for. The results are shown in the table above. Complete it and answer the following questions. (a) What is the probability that a woman selected at random would vote for Party B? (b) What is the probability that a man selected at random would not know which Party he would vote for? (c) What is the probability that a person selected at random is a woman who would vote for Party A? (d) What is the probability that a person selected at random from those who don’t know which Party they would vote for is a man? (e) What is the probability that a person selected at random would vote for Party B? | ClickHere For Answer |

20 | C | Scatter Graphs - Q8The following table shows the ages and blood pressure of a group of women: (a) Draw a scatter diagram to depict this information with the age along the horizontal axis and the blood pressure up the vertical axis. (b) Draw in a line of best fit. (c) Use your graph to predict the blood pressure of a woman aged 65. (d) Use your graph to predict the age of a woman whose blood pressure is 125. (e) Describe the trend and explain what this means. | ClickHere For Answer |