Math Core

This test covers mean, median, mode and range, reading and building data displays, simple and experimental probability, and counting outcomes.

Question 1

Find the mean of $12, 7, 15, 10, 6$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 2

Find the median of $8, 3, 11, 5, 14, 9$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 3

The data set $20, 22, 23, 23, 25$ has a new value, $95$ , added to it. Which measure changes the most?

Question 4

Theo's mean score on four quizzes is $80$ . Three of his scores are $72$ , $85$ and $79$ . What is his fourth score?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 5

The dot plot shows the number of letters in the first names of $14$ students. What is the range?

Letters in name

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

Find the mean of the data in this dot plot.

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

The stem-and-leaf plot shows the number of minutes some students spent on homework. The key is $2 \mid 4 = 24$ minutes. What is the median?

Stem	Leaves
$2$	$4 \; 7$
$3$	$0 \; 2 \; 2 \; 8$
$4$	$1 \; 5$

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

The frequency table shows how many hours $25$ students spent on screens on Saturday. Which statement must be true?

Hours	Frequency
$0$ – $2$	$4$
$3$ – $5$	$11$
$6$ – $8$	$7$
$9$ – $11$	$3$

Question 9

A spinner has $8$ equal sections numbered $1$ to $8$ . What is the probability of spinning a prime number?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 10

The probability of winning a prize in a game is $0.08$ . What is the probability of not winning a prize?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 11

At a coffee shop, $14$ of the first $40$ customers ordered decaf. Based on this, how many of the next $300$ customers would you predict will order decaf?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 12

A jar holds $5$ yellow candies and some other candies. The probability of picking a yellow candy at random is $\dfrac{1}{4}$ . How many candies are in the jar in all?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

A restaurant's dinner special comes with $1$ of $5$ appetizers, $1$ of $4$ main dishes and $1$ of $3$ desserts. How many different dinners are possible?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 14

In how many ways can $6$ people stand in a line for a photo?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 15

A $3$ -letter code is made by choosing letters from A, B, C, D and E, with no letter used twice. If a code is chosen at random, what is the probability that it starts with A?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.