##
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions -**

**CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ - The West African Examination Council (WAEC) General Maths 2018 objective and theory paper will be written today Wednesday, 18th April, 2018.**

The General Maths (Core) 2 (Essay) paper will start by 8:30am and will last for 2hrs 30mins while the General Mathematics/ Mathematics (Core) 1 (Objective) exam will commence 2pm and will last for 1hr 30mins.

###
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**In this post, you will be seeing the waec maths questions and answers 2018 for candidates that will participate in the examination from past questions.**

**Section B [Theory]**

**Answer any … questions.**

**Write your answers on the answer booklet provided.**

**1. A = {2, 4, 6, 8}, B = {2, 3, 7, 9} and C = {x: 3 < x < 9} are subsets of the universal-set**

**U = {2, 3, 4, 5, 6, 7, 8, 9}. Find**

**(a) A n(B’nC’);**

**(b) (AuB) n(BuC).**

**2.**

**In the diagram above, the points A, B, C and D lie on the circle, centre O. TA and TB are tangents touching the circle at A and B respectively.**

**AÔB = 132°, AĈD = 59° and AOC is a straight line.**

**(a) Find A**

*T*B.**(b) Find B**

*D*A.**(c) Find B**

*D*C.**(d) Find O**

*B*D.**3.**

**4. The frequency distribution of the weight of 100 participants in a high jump competition is as**

**shown below:**

Weight (kg) | 20-29 | 30 – 39 | 40 – 49 | SO – 59 | 60 – 69 | 70-79 |

Number of | | | | | | |

pa rtici pa nts | 10 | 18 | 22 | 25 | 16 | 9 |

**(a) Construct the cumulative frequency table.**

**(b) Draw the cumulative frequency curve.**

**(c) From the curve, estimate the:**

**(i) median;**

**(ii) semi-interquartile range;**

**(iii) probability that a participant chosen at random weighs at least 60 kg.**

**5. Using ruler and a pair of compasses only,**

**(a) construct a rhombus PQRS of side 7 cm and ÐPQR = 60o;**

**(b) locate point X such that X lies on the locus of points equidistant from PQ and QR and also equidistant from Q and R;**

**(c) measure /XR/.**

###
*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

**6. (a) The area of trapezium PQRS is 60 cm2. PQ//RS, /PQ/ = 15 cm, /RS/ = 25 cm and ÐPSR = 30o. Calculate the :**

**i) Perpendicular height of PQRS;**

**ii) |PS|.**

**(b) Ade received 3/5 of a sum of money, Nelly 1/3 of the remainder while Austin took the rest. If Austin’s share is greater than Nelly’s share by N3000, how much was did Ade receive?**

**7. (a) P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2, find the value of Q when P = 3 and R = 5.**

**(b) An aeroplane flies from town A(20oN, 60oE) to town B(20oN, 20oE).**

**(i) If the journey takes 6 hours, calculate, correct to 3 significant figures, the average speed of the aeroplane.**

###
**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions**

**(ii) If it then flies due north from town B to town C, 420 km away, calculate, correct to the nearest degree, the latitude of town C.**

**[Take radius of the earth = 6400 km and π = 3.142]**

**8. Two fair dice are thrown.**

**M is the event described by “the sum of the scores is 10” and**

**N is the event described by “the difference between the scores is 3”.**

**(a) Write out the elements of M and N.**

**(b) Find the probability of M or N.**

**(c) Are M and N mutually exclusive? Give reasons.**

**9. A library received a $1,300 grant. It spends 10% of the grant on magazine subscriptions, 35% on new books, 15% to repair damaged books, 30% to buy new furniture and 10% to train library staff.**

**(a) Represent this information on a pie chart.**

**(b) Calculate, correct to the nearest whole number, the percentage increase of the amount for buying new books over that of new furniture.**

**10. A sector of a circle with radius 21 cm has an area of 280 cm2.**

**(a) Calculate, correct to 1 decimal place, the perimeter of the sector.**

**(b) If the sector is bent such that its straight edges coincide to form a cone, calculate, correct to the nearest degree, the vertical angle of the cone. [Take π = 22/7 ]**

**11.**

**Section A (Objective)**

**Answer ALL questions in this section.**

Shade your answer in the answer sheet provided.

Shade your answer in the answer sheet provided.

**1. Express as a single fraction 5/7 – 2/5.**

**2. The temperature in a freezer is –18 °C. The outside temperature is 24 °C. Find the difference between the outside temperature and the freezer temperature.**

**3. The ratio of boys to girls in a class is 4 : 5. What fraction of the class are boys?**

**4. The ratio of boys to girls in a school is 3 : 4. There are 120 more girls than boys. How many students are in the school?**

##
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions -**

**CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ - The West African Examination Council (WAEC) General Maths 2018 objective and theory paper will be written today Wednesday, 18th April, 2018.**

The General Maths (Core) 2 (Essay) paper will start by 8:30am and will last for 2hrs 30mins while the General Mathematics/ Mathematics (Core) 1 (Objective) exam will commence 2pm and will last for 1hr 30mins.

###
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**In this post, you will be seeing the waec maths questions and answers 2018 for candidates that will participate in the examination from past questions.**

**Section B [Theory]**

**Answer any … questions.**

**Write your answers on the answer booklet provided.**

**1. A = {2, 4, 6, 8}, B = {2, 3, 7, 9} and C = {x: 3 < x < 9} are subsets of the universal-set**

**U = {2, 3, 4, 5, 6, 7, 8, 9}. Find**

**(a) A n(B’nC’);**

**(b) (AuB) n(BuC).**

**2.**

**In the diagram above, the points A, B, C and D lie on the circle, centre O. TA and TB are tangents touching the circle at A and B respectively.**

**AÔB = 132°, AĈD = 59° and AOC is a straight line.**

**(a) Find A**

*T*B.**(b) Find B**

*D*A.**(c) Find B**

*D*C.**(d) Find O**

*B*D.**3.**

**4. The frequency distribution of the weight of 100 participants in a high jump competition is as**

**shown below:**

Weight (kg) | 20-29 | 30 – 39 | 40 – 49 | SO – 59 | 60 – 69 | 70-79 |

Number of | | | | | | |

pa rtici pa nts | 10 | 18 | 22 | 25 | 16 | 9 |

**(a) Construct the cumulative frequency table.**

**(b) Draw the cumulative frequency curve.**

**(c) From the curve, estimate the:**

**(i) median;**

**(ii) semi-interquartile range;**

**(iii) probability that a participant chosen at random weighs at least 60 kg.**

**5. Using ruler and a pair of compasses only,**

**(a) construct a rhombus PQRS of side 7 cm and ÐPQR = 60o;**

**(b) locate point X such that X lies on the locus of points equidistant from PQ and QR and also equidistant from Q and R;**

**(c) measure /XR/.**

###
*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

**6. (a) The area of trapezium PQRS is 60 cm2. PQ//RS, /PQ/ = 15 cm, /RS/ = 25 cm and ÐPSR = 30o. Calculate the :**

**i) Perpendicular height of PQRS;**

**ii) |PS|.**

**(b) Ade received 3/5 of a sum of money, Nelly 1/3 of the remainder while Austin took the rest. If Austin’s share is greater than Nelly’s share by N3000, how much was did Ade receive?**

**7. (a) P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2, find the value of Q when P = 3 and R = 5.**

**(b) An aeroplane flies from town A(20oN, 60oE) to town B(20oN, 20oE).**

**(i) If the journey takes 6 hours, calculate, correct to 3 significant figures, the average speed of the aeroplane.**

###
**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions**

**(ii) If it then flies due north from town B to town C, 420 km away, calculate, correct to the nearest degree, the latitude of town C.**

**[Take radius of the earth = 6400 km and π = 3.142]**

**8. Two fair dice are thrown.**

**M is the event described by “the sum of the scores is 10” and**

**N is the event described by “the difference between the scores is 3”.**

**(a) Write out the elements of M and N.**

**(b) Find the probability of M or N.**

**(c) Are M and N mutually exclusive? Give reasons.**

**9. A library received a $1,300 grant. It spends 10% of the grant on magazine subscriptions, 35% on new books, 15% to repair damaged books, 30% to buy new furniture and 10% to train library staff.**

**(a) Represent this information on a pie chart.**

**(b) Calculate, correct to the nearest whole number, the percentage increase of the amount for buying new books over that of new furniture.**

**10. A sector of a circle with radius 21 cm has an area of 280 cm2.**

**(a) Calculate, correct to 1 decimal place, the perimeter of the sector.**

**(b) If the sector is bent such that its straight edges coincide to form a cone, calculate, correct to the nearest degree, the vertical angle of the cone. [Take π = 22/7 ]**

**11.**

**Section A (Objective)**

**Answer ALL questions in this section.**

Shade your answer in the answer sheet provided.

Shade your answer in the answer sheet provided.

**1. Express as a single fraction 5/7 – 2/5.**

**2. The temperature in a freezer is –18 °C. The outside temperature is 24 °C. Find the difference between the outside temperature and the freezer temperature.**

**3. The ratio of boys to girls in a class is 4 : 5. What fraction of the class are boys?**

**4. The ratio of boys to girls in a school is 3 : 4. There are 120 more girls than boys. How many students are in the school?**

##
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions -**

**CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ - The West African Examination Council (WAEC) General Maths 2018 objective and theory paper will be written today Wednesday, 18th April, 2018.**

The General Maths (Core) 2 (Essay) paper will start by 8:30am and will last for 2hrs 30mins while the General Mathematics/ Mathematics (Core) 1 (Objective) exam will commence 2pm and will last for 1hr 30mins.

###
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**In this post, you will be seeing the waec maths questions and answers 2018 for candidates that will participate in the examination from past questions.**

**Section B [Theory]**

**Answer any … questions.**

**Write your answers on the answer booklet provided.**

**1. A = {2, 4, 6, 8}, B = {2, 3, 7, 9} and C = {x: 3 < x < 9} are subsets of the universal-set**

**U = {2, 3, 4, 5, 6, 7, 8, 9}. Find**

**(a) A n(B’nC’);**

**(b) (AuB) n(BuC).**

**2.**

**In the diagram above, the points A, B, C and D lie on the circle, centre O. TA and TB are tangents touching the circle at A and B respectively.**

**AÔB = 132°, AĈD = 59° and AOC is a straight line.**

**(a) Find A**

*T*B.**(b) Find B**

*D*A.**(c) Find B**

*D*C.**(d) Find O**

*B*D.**3.**

**4. The frequency distribution of the weight of 100 participants in a high jump competition is as**

**shown below:**

Weight (kg) | 20-29 | 30 – 39 | 40 – 49 | SO – 59 | 60 – 69 | 70-79 |

Number of | | | | | | |

pa rtici pa nts | 10 | 18 | 22 | 25 | 16 | 9 |

**(a) Construct the cumulative frequency table.**

**(b) Draw the cumulative frequency curve.**

**(c) From the curve, estimate the:**

**(i) median;**

**(ii) semi-interquartile range;**

**(iii) probability that a participant chosen at random weighs at least 60 kg.**

**5. Using ruler and a pair of compasses only,**

**(a) construct a rhombus PQRS of side 7 cm and ÐPQR = 60o;**

**(b) locate point X such that X lies on the locus of points equidistant from PQ and QR and also equidistant from Q and R;**

**(c) measure /XR/.**

###
*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

**6. (a) The area of trapezium PQRS is 60 cm2. PQ//RS, /PQ/ = 15 cm, /RS/ = 25 cm and ÐPSR = 30o. Calculate the :**

**i) Perpendicular height of PQRS;**

**ii) |PS|.**

**(b) Ade received 3/5 of a sum of money, Nelly 1/3 of the remainder while Austin took the rest. If Austin’s share is greater than Nelly’s share by N3000, how much was did Ade receive?**

**7. (a) P varies directly as Q and inversely as the square of R. If P = 1 when Q = 8 and R = 2, find the value of Q when P = 3 and R = 5.**

**(b) An aeroplane flies from town A(20oN, 60oE) to town B(20oN, 20oE).**

**(i) If the journey takes 6 hours, calculate, correct to 3 significant figures, the average speed of the aeroplane.**

###
**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions**

**(ii) If it then flies due north from town B to town C, 420 km away, calculate, correct to the nearest degree, the latitude of town C.**

**[Take radius of the earth = 6400 km and π = 3.142]**

**8. Two fair dice are thrown.**

**M is the event described by “the sum of the scores is 10” and**

**N is the event described by “the difference between the scores is 3”.**

**(a) Write out the elements of M and N.**

**(b) Find the probability of M or N.**

**(c) Are M and N mutually exclusive? Give reasons.**

**9. A library received a $1,300 grant. It spends 10% of the grant on magazine subscriptions, 35% on new books, 15% to repair damaged books, 30% to buy new furniture and 10% to train library staff.**

**(a) Represent this information on a pie chart.**

**(b) Calculate, correct to the nearest whole number, the percentage increase of the amount for buying new books over that of new furniture.**

**10. A sector of a circle with radius 21 cm has an area of 280 cm2.**

**(a) Calculate, correct to 1 decimal place, the perimeter of the sector.**

**(b) If the sector is bent such that its straight edges coincide to form a cone, calculate, correct to the nearest degree, the vertical angle of the cone. [Take π = 22/7 ]**

**11.**

**Section A (Objective)**

**Answer ALL questions in this section.**

Shade your answer in the answer sheet provided.

Shade your answer in the answer sheet provided.

**1. Express as a single fraction 5/7 – 2/5.**

**2. The temperature in a freezer is –18 °C. The outside temperature is 24 °C. Find the difference between the outside temperature and the freezer temperature.**

**3. The ratio of boys to girls in a class is 4 : 5. What fraction of the class are boys?**

**4. The ratio of boys to girls in a school is 3 : 4. There are 120 more girls than boys. How many students are in the school?**

##
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions -**

###
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**Section B [Theory]**

**Answer any … questions.**

**Write your answers on the answer booklet provided.**

**1. A = {2, 4, 6, 8}, B = {2, 3, 7, 9} and C = {x: 3 < x < 9} are subsets of the universal-set**

**U = {2, 3, 4, 5, 6, 7, 8, 9}. Find**

**(a) A n(B’nC’);**

**(b) (AuB) n(BuC).**

**2.**

**AÔB = 132°, AĈD = 59° and AOC is a straight line.**

**(a) Find A**

*T*B.**(b) Find B**

*D*A.**(c) Find B**

*D*C.**(d) Find O**

*B*D.**3.**

**4. The frequency distribution of the weight of 100 participants in a high jump competition is as**

**shown below:**

Weight (kg) | 20-29 | 30 – 39 | 40 – 49 | SO – 59 | 60 – 69 | 70-79 |

Number of | | | | | | |

pa rtici pa nts | 10 | 18 | 22 | 25 | 16 | 9 |

**(a) Construct the cumulative frequency table.**

**(b) Draw the cumulative frequency curve.**

**(c) From the curve, estimate the:**

**(i) median;**

**(ii) semi-interquartile range;**

**(iii) probability that a participant chosen at random weighs at least 60 kg.**

**5. Using ruler and a pair of compasses only,**

**(a) construct a rhombus PQRS of side 7 cm and ÐPQR = 60o;**

**(c) measure /XR/.**

###
*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

**i) Perpendicular height of PQRS;**

**ii) |PS|.**

**(b) An aeroplane flies from town A(20oN, 60oE) to town B(20oN, 20oE).**

###
**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions**

**[Take radius of the earth = 6400 km and π = 3.142]**

**8. Two fair dice are thrown.**

**M is the event described by “the sum of the scores is 10” and**

**N is the event described by “the difference between the scores is 3”.**

**(a) Write out the elements of M and N.**

**(b) Find the probability of M or N.**

**(c) Are M and N mutually exclusive? Give reasons.**

**(a) Represent this information on a pie chart.**

**10. A sector of a circle with radius 21 cm has an area of 280 cm2.**

**(a) Calculate, correct to 1 decimal place, the perimeter of the sector.**

**11.**

**Section A (Objective)**

**Answer ALL questions in this section.**

Shade your answer in the answer sheet provided.

Shade your answer in the answer sheet provided.

**1. Express as a single fraction 5/7 – 2/5.**

**3. The ratio of boys to girls in a class is 4 : 5. What fraction of the class are boys?**

##
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions -**

###
*Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions*

**Section B [Theory]**

**Answer any … questions.**

**Write your answers on the answer booklet provided.**

**1. A = {2, 4, 6, 8}, B = {2, 3, 7, 9} and C = {x: 3 < x < 9} are subsets of the universal-set**

**U = {2, 3, 4, 5, 6, 7, 8, 9}. Find**

**(a) A n(B’nC’);**

**(b) (AuB) n(BuC).**

**2.**

**AÔB = 132°, AĈD = 59° and AOC is a straight line.**

**(a) Find A**

*T*B.**(b) Find B**

*D*A.**(c) Find B**

*D*C.**(d) Find O**

*B*D.**3.**

**4. The frequency distribution of the weight of 100 participants in a high jump competition is as**

**shown below:**

Weight (kg) | 20-29 | 30 – 39 | 40 – 49 | SO – 59 | 60 – 69 | 70-79 |

Number of | | | | | | |

pa rtici pa nts | 10 | 18 | 22 | 25 | 16 | 9 |

**(a) Construct the cumulative frequency table.**

**(b) Draw the cumulative frequency curve.**

**(c) From the curve, estimate the:**

**(i) median;**

**(ii) semi-interquartile range;**

**(iii) probability that a participant chosen at random weighs at least 60 kg.**

**5. Using ruler and a pair of compasses only,**

**(a) construct a rhombus PQRS of side 7 cm and ÐPQR = 60o;**

**(c) measure /XR/.**

###
*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

*CORRECT MATHS WAEC OBJ - SOLVED MATHS ESSAY 2018 APPROVED ANSWERS EXPO RUNZ*

**i) Perpendicular height of PQRS;**

**ii) |PS|.**

**(b) An aeroplane flies from town A(20oN, 60oE) to town B(20oN, 20oE).**

###
**Maths exam Runz 2018 - Waec Simplified 2018 questions and answers solutions**

**[Take radius of the earth = 6400 km and π = 3.142]**

**8. Two fair dice are thrown.**

**M is the event described by “the sum of the scores is 10” and**

**N is the event described by “the difference between the scores is 3”.**

**(a) Write out the elements of M and N.**

**(b) Find the probability of M or N.**

**(c) Are M and N mutually exclusive? Give reasons.**

**(a) Represent this information on a pie chart.**

**10. A sector of a circle with radius 21 cm has an area of 280 cm2.**

**(a) Calculate, correct to 1 decimal place, the perimeter of the sector.**

**11.**

**Section A (Objective)**

**Answer ALL questions in this section.**

Shade your answer in the answer sheet provided.

Shade your answer in the answer sheet provided.

**1. Express as a single fraction 5/7 – 2/5.**

**3. The ratio of boys to girls in a class is 4 : 5. What fraction of the class are boys?**

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