SBAC Grade 6 Math Practice Test 1 — Questions and Answers
Question 1: Daniella wrote a decimal and a fraction which were equivalent to each other. Which pair of numbers could be the pair Daniella wrote?
- 0.625,78
- 0.375,38 (Correct answer)
- 0.75,75
- 0.45,45
Correct answer: 0.375,38
To check for equivalence, convert the fraction 3/8 to a decimal by dividing the numerator by the denominator. 3 ÷ 8 = 0.375. This decimal matches 0.375, confirming that 0.375 and 3/8 are an equivalent pair.
Question 2: One morning at Jim's café, 25 people ordered juice, 10 ordered milk, and 50 ordered coffee with breakfast. Which ratio best compares the number of people who ordered milk to the number of people who ordered juice?
- 5 to 7
- 5 to 2
- 2 to 7
- 2 to 5 (Correct answer)
Correct answer: 2 to 5
A ratio compares two quantities. The question asks for the ratio of people who ordered milk (10) to those who ordered juice (25). This gives the ratio 10:25. Simplifying this ratio by dividing both numbers by their greatest common divisor (5) results in 2:5, or '2 to 5'.
Question 3: A unit of liquid measure in the English System of Measure is the gill. The table, shown here, gives conversions from gills to fluid ounces.<br><br>Which equation best describes the relationship between gills, g, and fluid ounces, f?
- f=8g-8
- f=2g+4
- f=4g (Correct answer)
- 4f=g
Correct answer: f=4g
To find the equation describing the relationship between gills (g) and fluid ounces (f) from the table (not provided, but implied), look for a consistent pattern. If for every 1 gill there are 4 fluid ounces (e.g., 1g=4f, 2g=8f), then the number of fluid ounces is always 4 times the number of gills, represented by the equation f = 4g.
Question 4: The table below shows changes in the area of several trapezoids as the lengths of the bases, b1 and b2, remain the same and the height, h, changes.<br><br>Which formula best represents the relationship between A, the areas of these trapezoids, and h, their heights?
- A=5h
- A=6h (Correct answer)
- A=7h
- A=12h
Correct answer: A=6h
The area of a trapezoid is given by A = 0.5 * (b1 + b2) * h. If the bases b1 and b2 remain constant (e.g., b1+b2 = 12), then the formula simplifies to A = 0.5 * 12 * h, which is A = 6h. This formula would accurately represent the relationship between the area and height in the given table.
Question 5: Ellen measured ∠R in the parallelogram shown here and found it to be 35°. She knows that ∠R and ∠T have equal measures. She also knows ∠S and ∠V are equal in measure.<br><br>What is the measure of ∠V?
- 215°
- 145° (Correct answer)
- 70°
- 35°
Correct answer: 145°
In a parallelogram, consecutive angles are supplementary, meaning they add up to 180°. If ∠R is 35°, then the adjacent angle ∠V must be 180° - 35° = 145°. Also, opposite angles in a parallelogram are equal, so ∠S would also be 145°.
SBAC Grade 6 Math Practice Test 1
Daniella wrote a decimal and a fraction which were equivalent to each other.
Which pair of numbers could be the pair Daniella wrote?