MATHS QUIZ NO. 33
Posted: Sun Oct 19, 2008 9:38 amQ1. At the local sports club, some veteran members were photographed together for the annual awards ceremony. In the photograph, each member has a different coloured T-shirt on. Obviously, the number of awards each has won over the years counts towards their status within the club, however, it is also significant to let other members know how many relatives of theirs are eligible for membership. From the information given below, can you determine the positions of the five members in the photograph, their T-shirt colour, their age (40, 48, 60, 65, 74), the number of awards they have won (40, 75, 96, 125, 165) and the number of eligible relatives (5, 9, 30, 46, 60)?
The person who is wearing red, has 25 relatives more than Jeff and is not next to the person wearing blue. Jim is wearing orange and has 40 awards more than John. John has 51 awards more than his age and Jeff has 5 relatives. Jake has 75 awards and is 65 years old. The person on the far right has 37 fewer relatives than John, and is 40 years old. Jack, who is the first, is 60 years old, and has 20 awards less than his age. The person who is next to the person who has 46 relatives but not next to the person who is 60 years old, is wearing yellow, and has 96 awards. The person in the centre has 46 relatives, is wearing blue and has 125 awards. The person who is wearing green, has 30 more relatives than the person to the left of him.
Position.......1.........2.........3..........4...........5
Name........Jack....Jake......John......Jeff........Jim
Age...........60.......65........74.........48.........40
T-Shirt......Red.....Green....Blue......Yellow...Orange
Relatives.....30.......60........46.........5..........9
Awards.......40.......75........125.......96........165
Q2. At the local games evening, four lads were competing in the Scrabble and chess competitions. Liam beat Mark in chess, James came third and the 16 year old won. Liam came second in Scrabble, the 15 year old won, James beat the 18 year old and the 19 year old came third. Kevin is 3 years younger than Mark. The person who came last in chess, came third in Scrabble and only one lad got the same position in both games. Can you determine the ages of the lads and the positions in the two games?
James 15, Kevin 16, Liam 18, Mark 19
Chess
Kevin.......First
Liam........Second
James......Third
Mark........Fourth
Scrabble
James......First
Liam........Second
Mark.......Third
Kevin......Fourth
Q3. At last month's pre-Olympic rehearsal, four top athletes competed in two qualifying 400 metre races. As the results were expected to be mislaid, various notes were taken to ensure the accuracy of the overall placings:
No-one finished both races in the same position. John beat Mr Donald in both races. Steve Curtail came third in the second race and Dave came last in the first race. In the second race, Mr Arnold won and Mr Bowler came last. In the first race, Steve beat Kev, but Kev beat John.
Name......................First Race...............Second Race
John Arnold................Third.......................First
Steve Curtail..............First........................Third
Dave Donald...............Fourth.....................Second
Kev Bowler................Second.....................Fourth
Q4. At the recent web developer's bowling match, two games were played. Kev beat Stuart in both games, also Richard beat John in both games. The winner in game 1 came second in game 2. Richard won game 2 and John beat Stuart in game 1. No player got the same placing twice. Can you determine who finished where in each game?
GAME 1 - 1 Kev 2 Richard 3 John 4 Stuart
GAME 2 - 1 Richard 2 Kev 3 Stuart 4 John
Q5. During a recent gymnastics gala, four girls competed in three events, the vault, the beam and the floor. Chloe came third on the floor. The girl who came second in the vault, won the beam event. The girl who came second on the beam won the floor. Jessica beat Alex in every event. The girl who won the vault came second on the floor. Caris came last in the vault. Can you determine who finished where in each event?
VAULT - 1 Jessica 2 Chloe 3 Alex 4 Caris
BEAM - 1 Chloe 2 Caris 3 Jessica 4 Alex
FLOOR - 1 Caris 2 Jessica 3 Chloe 4 Alex
The person who is wearing red, has 25 relatives more than Jeff and is not next to the person wearing blue. Jim is wearing orange and has 40 awards more than John. John has 51 awards more than his age and Jeff has 5 relatives. Jake has 75 awards and is 65 years old. The person on the far right has 37 fewer relatives than John, and is 40 years old. Jack, who is the first, is 60 years old, and has 20 awards less than his age. The person who is next to the person who has 46 relatives but not next to the person who is 60 years old, is wearing yellow, and has 96 awards. The person in the centre has 46 relatives, is wearing blue and has 125 awards. The person who is wearing green, has 30 more relatives than the person to the left of him.
Position.......1.........2.........3..........4...........5
Name........Jack....Jake......John......Jeff........Jim
Age...........60.......65........74.........48.........40
T-Shirt......Red.....Green....Blue......Yellow...Orange
Relatives.....30.......60........46.........5..........9
Awards.......40.......75........125.......96........165
Q2. At the local games evening, four lads were competing in the Scrabble and chess competitions. Liam beat Mark in chess, James came third and the 16 year old won. Liam came second in Scrabble, the 15 year old won, James beat the 18 year old and the 19 year old came third. Kevin is 3 years younger than Mark. The person who came last in chess, came third in Scrabble and only one lad got the same position in both games. Can you determine the ages of the lads and the positions in the two games?
James 15, Kevin 16, Liam 18, Mark 19
Chess
Kevin.......First
Liam........Second
James......Third
Mark........Fourth
Scrabble
James......First
Liam........Second
Mark.......Third
Kevin......Fourth
Q3. At last month's pre-Olympic rehearsal, four top athletes competed in two qualifying 400 metre races. As the results were expected to be mislaid, various notes were taken to ensure the accuracy of the overall placings:
No-one finished both races in the same position. John beat Mr Donald in both races. Steve Curtail came third in the second race and Dave came last in the first race. In the second race, Mr Arnold won and Mr Bowler came last. In the first race, Steve beat Kev, but Kev beat John.
Name......................First Race...............Second Race
John Arnold................Third.......................First
Steve Curtail..............First........................Third
Dave Donald...............Fourth.....................Second
Kev Bowler................Second.....................Fourth
Q4. At the recent web developer's bowling match, two games were played. Kev beat Stuart in both games, also Richard beat John in both games. The winner in game 1 came second in game 2. Richard won game 2 and John beat Stuart in game 1. No player got the same placing twice. Can you determine who finished where in each game?
GAME 1 - 1 Kev 2 Richard 3 John 4 Stuart
GAME 2 - 1 Richard 2 Kev 3 Stuart 4 John
Q5. During a recent gymnastics gala, four girls competed in three events, the vault, the beam and the floor. Chloe came third on the floor. The girl who came second in the vault, won the beam event. The girl who came second on the beam won the floor. Jessica beat Alex in every event. The girl who won the vault came second on the floor. Caris came last in the vault. Can you determine who finished where in each event?
VAULT - 1 Jessica 2 Chloe 3 Alex 4 Caris
BEAM - 1 Chloe 2 Caris 3 Jessica 4 Alex
FLOOR - 1 Caris 2 Jessica 3 Chloe 4 Alex
