Practice Test 6 - ISEE Lower Level Mathematics Achievement

20 questions. Answer them in any order, then submit to see your score and every explanation.

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1. An isosceles triangle has a perimeter of 40 inches. The shortest side, which is the base, measures 10 inches. What is the length of one of the two equal sides?
2. A horizontal line segment starts at (3, 4) and ends at (9, 4). A vertical line segment starts at (3, 4) and ends at (3, 8). These are two sides of a rectangle. What is the fourth vertex of this rectangle?
3. Noah poured $\dfrac{1}{2}$ cup of water. What decimal is $\dfrac{1}{2}$?​
4. On Monday, a bakery sold 10 pies. On Tuesday, it sold 3 more pies than on Monday. On Wednesday, it sold the same number as on Monday. On Thursday, it sold 2 fewer than on Tuesday. What is the mode of the number of pies sold per day from Monday to Thursday?
5. For her garden, Mrs. Gable buys 3 bags of soil at $6.98 per bag, a watering can for $12.49, and 5 small flower plants at $2.75 each. Which is the best estimate for what she spent?
6. Liam buys 4 packs of trading cards for $3 each and a binder for $7. He pays with a $20 bill. How much change does he receive?
7. A bar graph shows the number of hours four employees worked in a week. Ana worked 38 hours, Ben worked 40 hours, Carla worked 35 hours, and David worked 32 hours. How many more hours did Ana and Ben work together than Carla and David worked together?
8. A line graph tracks daily temperature readings over 6 days. The temperatures were $72°F$, $68°F$, $75°F$, $71°F$, $69°F$, and $73°F$. On three of these days, it rained. The rainy days had temperatures of $68°F$, $69°F$, and $71°F$. What is the total temperature for all the non-rainy days combined?
9. A spinner has 4 equal sections: red, blue, green, yellow. Sam spins once. What is the probability of landing on blue?
10. Students bike weekly: 4, 5, 4, 6, 7, 4, 5, 4, 3, 6. Based on the data set, what is the mode?
11. In a school competition, the Blue Team scored 245 points in the first round and 312 points in the second round. The Red Team scored 280 points in the first round and 295 points in the second round. After two rounds, how many more points did the Red Team have than the Blue Team?
12. A balancing scale has a 23-gram weight on one side. The other side has a 5-gram weight and three identical blocks of unknown weight, w. The balanced scale is represented by the equation 23 = 5 + 3w. What is the weight of one block?
13. A shape is made by joining three identical squares in a row, side to side. If the side of each square is 4 centimeters, what is the perimeter of the entire shape?
14. A garden has 72 flowers. One-third of the flowers are tulips and $\frac{1}{6}$ are daffodils. The rest of the flowers are roses. How many roses are in the garden?
15. A double bar graph compares monthly rainfall between two cities over 4 months. City X received 3.2, 4.7, 2.9, and 5.1 inches in January through April respectively. City Y received 4.8, 3.5, 6.2, and 4.0 inches in the same months. In which month was the total rainfall for both cities combined the greatest, and what was that total amount?
16. The sum of a number k and 17 is 43. This is represented by the equation k + 17 = 43. What is the value of k?
17. Which of the following fractions is located on a number line between $\frac{3}{8}$ and $\frac{5}{6}$?
18. A spinner has 8 equal sections: 3 green, 2 red, 2 blue, 1 yellow. What is the probability of landing on red?
19. The value of p is found by solving the equation 3 × (p - 2) = 15. What is the value of 10 - p?
20. A large pizza was cut into 12 equal slices. Ethan ate $\frac{1}{4}$ of the pizza, and Olivia ate $\frac{1}{3}$ of the pizza. How many slices were left?

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