Welcome to the Northern Student Games Website

Math Challenge Data Sheet (Download in pdf format)

Thursday Math Challenge

Grade 3:

Tally the number of medals (gold, silver and bronze) that each community has won.

a) Which team won the most medals?
b) Which team won the least medals?
c) Which team do you think will be the “Overall Champion?”
d) Which team do you think will be the “Cultural Champion?”
e) Which team do you think will be the “Fine Arts Champion?”
f) Check back tomorrow to compare your predictions with the actual results.

Grade 4:

Tally the total number of medals (gold, silver and bronze) won by each community.

a) Which school won the most medals?
b) Which school won the least medals?
c) Which school is most likely to win the “Overall Championship” title for having the most medals?

Grade 5:

Create a tally chart to display the medals won by the top 3 schools. Create a triple bar graph to show the number of gold, silver and bronze medals awarded.

Grade 6:

List the possible outcomes (placing) when participating in the Badminton tournament.

a) State whether the following events have a probability of 0, 1/4, ½, 3/4, or 1. Justify your reasoning.

i) Your team winning the gold.
ii) Your team winning a medal.
iii) Your team not winning a medal.
iiii) Your team placing last.

Grade 7:

Create a circle graph with or without technology, to display how you spent 24 hours in your community during the games.

a) Compare and contrast your graph to the graph created on Tuesday.
b) Express each section of the circle graph as a percent and label accordingly.
c) Which category would you like to increase or decrease the time spent in your graph?
d) In order to increase or decrease the time spent participating in one category, suggest a way to compensate for the change?

Grade 8:

Using the current data from the Northern Games website, determine the

a) Probability of winning a gold medal in volleyball and then winning a gold medal in basketball
b) Probability of not winning a medal in Fine Arts then winning any medal in Broomball.
c) Probability of winning the “Athletic Championship?”

Grade 9:

Choose a logo from any community participating in the games. Identify any lines of symmetry or rotational symmetry.

Top of Page

The weight categories for Wrestling are as follows: 40-45kg, 46-50, 51-55, 56-60, 61+

a) How many students are 40-45kg ?
b) How many students are 46-50 kg ?
c) How many students are 51-55 kg ?
d) How many students are 56-60 kg ?
e) How many students are 61+ kg ?
f) Where would you place weights that do not fall into the above categories?

The menu for Wednesday includes the following: Cereal, Milk, Toast, Fruit, Hash Browns, Bacon, Scrambled Eggs, Chili, Bannock, Salad, Pot Roast, Scalloped Potatoes, Vegetables and a Cupcake.

The 4 food groups include Fruit and Vegetables, Milk and Dairy, Grains and Legumes and Meat and Alternatives.

a) Sort the menu items into the appropriate groups by using a tally chart.
b) Construct a bar graph using the data.
c) Using your knowledge of the Canada Food Guide, is this menu balanced

What is the probability that your school will win the championship?
What is the probability that your school will come in last place?

The Girls Basketball Championship took place last night. The scores were as follows:

a) Construct a double line graph using the data.
b) Who was the stronger team based on the results of all the quarters?
c) Who was the winner?
d) If the game was tied at the end of the fourth quarter, predict a overtime score based on the graph results.

Using the Northern Games Website, locate the final times of the Cross-Country Skiing Event.

a) Calculate the mean.
b) Calculate the median.
c) Find the mode. (It may be necessary to round the times).
d) Find the range.
e) Identify any outliers in the skiing results.
f) State possible reasons for the outlier(s).
g) Explain any significant effect outliers would have on the mean, median or mode.
e) Which measure of central tendency is not useful in this set of central tendency?

a) Compile the data using a tally, frequency chart or a list.
b) Choose a type of graph and justify the reasoning.
c) Graph the data.
d) What are 3 conclusions and/or assumptions you can make based on reading the data?

a) Create a question regarding the participation within the games and select a sample group of athletes or coaches to ask.
b) Collect and organize the data using a tally or frequency chart.
c) Display the data in a bar graph.
d) Using the information collected, what assumptions or conclusions can you make regarding the data?

The communities participating in the games traveled the following distances to La Loche:

La Loche = 0 km
Buffalo Narrows = 100 km
St. George’s Hill = 374 km
Beauval = 212 km
Jans Bay = 252 km
Green Lake = 315 km
Stony Rapids = 1112 km
La Ronge = 434 km
Cumberland House = 832 km
Sandy Bay = 731 km
Pinehouse =317 km

a) Which groups traveled approximately the same distance and could have carpooled?
b) Which group traveled the least distance?
c) Which group traveled the largest distance?

Create a pictograph to display the number of participants in the following events:

Archery (4), Badminton (8), Basketball (6), Broomball (7), Cross-Country Skiing (4), Dance (3), Drama (2), Drawing (3), Music (2), Volleyball (7) and Wrestling (5).

a) Which event has the most participants?
b) Which event has the least participants?

Create a double bar graph to show the ages of the Northern Games participants from your community.

a) What age has the most girls? The least girls?
b) What age has the most boys? The least boys?
c) Predict which age group will win the most events.

Compare the temperatures , including projected temperatures, in La Loche and your community during the Northern Student Games (Monday, Tuesday, Wednesday and Thursday). Use www.theweathernetwork.com or any other relevant site to find the temperatures.

a) Create a double line graph to display the data.
b) Since Cross-Country Skiing requires adequate snowfall, predict whether your community or La Loche is the best location for the event.

Using the Northern Games Schedule, create a circle graph to display the activities of your community in a 24 hour period and answer the questions below. The categories for your circle graph may include: sports, fine arts, meals, sleep, bathing and socializing.

a) Convert the hours into percentages.
b) What activity took up the most time?
c) What activity took up the least amount of time?
d) Based on adolescent suggested sleep times of 9 hours, did the students sleep enough to be fully rested?
e) Which category or categories should have had more or less time?

The data from the games could be displayed in many ways. Which of the following graphs (e.g. line, bar, double line, double bar, circle, pictograph) is best to display the following scenarios? Justify your reasoning.

a) The points scored by both teams during all four quarter of a basketball game.
b) The amount of grade 5, 6, 7, and 8 students participating in badminton.
c) The distances traveled to the games from each community.
d) The total number of medals awarded to each community.
e) The ages of both boys and girls ranging from 11 to 14.
f) The temperatures throughout the Cultural Day events.

Using current data on wins and losses, what assumptions can you make about your community’s team winning or losing events? (Events include Archery, Badminton, Basketball, Broomball, Cross-Country Skiing, Dance, Drama, Drawing, Music, Volleyball and Wrestling).

a) Express the wins and losses as percents.
b) Calculate the experimental probabilities (projected) of:

a) What is the youngest age?
b) What is the oldest age?
c) Which age has the most participants?

Create a bar graph to show the ages of the Northern Games participants from your school or any school of your choice.

a) What is the youngest age?
b) What is the oldest age?
c) What is the most common age?

A teacher and student from La Loche Community School are collecting the data from the Northern Games. Is this primary or secondary data? Explain your reasoning.

a) Which students in your school would like to participate in the Northern Student Games?
b) Which 3 activities students would like to participate in?
c) Graph the data using a bar graph and report on the most popular and least popular events, as determined by your data.

a) Find the theoretical probably of winning a gold medal in volleyball. Express as a fraction, percent and decimal.
b) Using your knowledge of your community’s team, state a possible probability that they will win a gold medal.
c) If your theoretical and experimental probabilities are different, state a reason why.
d) Find the theoretical probability of winning a gold, silver or bronze medal in archery. Express as a fraction, percent and decimal.

Compare the temperatures in La Loche and your community during the Northern Student Games (Monday, Tuesday, Wednesday and Thursday). Use www.theweathernetwork.com or any other relevant site to find the temperatures.

a) Create the appropriate graph to display the data. Justify the choice of graph.
b) Since Cross-Country Skiing requires adequate snowfall, predict whether your community or La Loche is the best location for the event.
c) What are some conclusions you can make about the Games and the data displayed on your graph?

Two teachers and two students from La Loche are responsible for collecting the data for the games and posting it on the website. Using evidence to support your answer, do you foresee any bias regarding the data being collected regarding your home team? Make reference to use of language, cultural sensitivity, cost, time, etc.