## ALGEBRA and GEOMETRY for Junior school.

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Your answers are highlighted below.

Question 1 |

Find x.

A | $\frac{\text{5}}{\text{7}}$ |

B | $\frac{\text{11}}{\text{15}}$ |

C | $\frac{\text{11}}{\text{9}}$ |

D | 1 |

Question 2 |

$4\frac{\text{4}}{\text{5}}\times \; 1\frac{\text{1}}{\text{9}}\times \; 1\frac{\text{1}}{\text{8}}$

A | 9 |

B | 30 |

C | 10 |

D | 6 |

Question 3 |

Round 7.49362 to the nearest thousandth.

A | 7.50 |

B | 7.49 |

C | 7.493 |

D | 7.494 |

Question 4 |

$3\frac{\text{5}}{\text{6}}-\left(\frac{2}{3}\text{\u2212}\frac{\text{1}}{\text{2}}\right)$

A | $3\frac{\text{2}}{\text{5}}$ |

B | $3\frac{\text{1}}{\text{6}}$ |

C | $3\frac{\text{1}}{\text{2}}$ |

D | $3\frac{\text{2}}{\text{3}}$ |

Question 5 |

A bag contains 3 red marbles, 4 white marbles, and 5 blue marbles. If one marble is drawn
from the bag, what is the probability that the marble will be blue?

A | $\frac{\text{4}}{\text{12}}$ |

B | $\frac{\text{5}}{\text{12}}$ |

C | 5 |

D | 3 |

Question 6 |

$2\frac{\text{1}}{\text{2}}\mathrm{+\; 1}\frac{\text{1}}{\text{6}}$

A | $3\frac{\text{2}}{\text{3}}$ |

B | $3\frac{\text{5}}{\text{6}}$ |

C | $3\frac{\text{4}}{\text{5}}$ |

D | $3\frac{\text{4}}{\text{6}}$ |

Question 7 |

The perimeter of the square equals the perimeter of the
regular pentagon. Each side of the pentagon is 16 cm long.
How long is each side of the square?

A | 20 |

B | 23 |

C | 16 |

D | 19 |

Question 8 |

Write 0.000387 in scientific notation.

A | 3.87 × 10 ^{ -4} |

B | 38.7 × 10 ^{ -6} |

C | 3.87 × 10 ^{ -3} |

D | 3.87 × 10 ^{ -5} |

Question 9 |

A one-quart container of oil costs 89?. A case of 12 one-quart containers costs $8.64.
How much is saved per container by buying the oil by the case?

A | $2.04 per case |

B | $2.04 per container |

C | $0.17 per container |

D | $0.17 per case |

Question 10 |

What is the average of 4.2, 2.61, and 3.6?

A | 3.7 |

B | 3.6 |

C | 3.47 |

Question 11 |

Find the volume of the triangular prism shown. Dimensions are in millimeters.

A | 70,000 mm ^{3} |

B | 35,000 mm ^{3} |

C | 60,000 mm ^{3} |

D | 30,000 mm ^{3} |

Question 12 |

6w = 63 Find w.

A | 36 |

B | 2 |

C | 66 |

D | 12 |

Question 13 |

What is the area of this polygon?

A | 138 m ^{2} |

B | 42 m ^{2} |

C | 142 m ^{2} |

D | 102 m ^{2} |

Question 14 |

The area of a square is 64 cm

^{2}. What is the perimeter of the square?A | 24 cm |

B | 20 cm |

C | 32 cm |

Question 15 |

The sale price of an item on sale for 40% off is $48. What was the regular price?

A | $80 |

B | $28.8 |

C | $52 |

D | $74 |

Question 16 |

$\frac{\text{8}}{\text{3}}$ .
$\frac{\text{3}}{\text{1}}$

A | $\frac{\text{24}}{\text{3}}$ |

B | $\frac{\text{11}}{\text{4}}$ |

C | $\frac{\text{11}}{\text{3}}$ |

D | 8 |

Question 17 |

How many quarter-pound hamburgers can be made from 100 pounds of ground beef?

A | 25 hamburgers |

B | 400 hamburgers |

C | 40 hamburgers |

D | 250 hamburgers |

Question 18 |

Ricardo ran the 400-meter race 3 times. His fastest time was 54.3 seconds. His slowest
time was 56.1 seconds. If his average time was 55.0 seconds, what was his time for the
third race?

A | 44.6 seconds |

B | 54.6 seconds |

C | 50.6 seconds |

D | 34.6 seconds |

Question 19 |

President Franklin D. Roosevelt died in office in 1945 at the age of 63. In what year was he
born?

A | 1863 |

B | 1882 |

C | 1881 |

D | 1868 |

Question 20 |

If 200 is increased by 130 percent, what is the resulting number?

A | 140 |

B | 260 |

C | 460 |

D | 330 |

Question 21 |

${2}^{3}+\sqrt{25}\text{- 3 +}{4}^{2}-\sqrt{4}$

A | 0 |

B | 23 |

C | 24 |

D | 1 |

Question 22 |

$102\; /\; 68$

A | $\frac{\text{1}}{\text{2}}$ |

B | $\text{3}\frac{\text{1}}{\text{2}}$ |

C | $1\frac{\text{1}}{\text{2}}$ |

Question 23 |

What is the volume in cubic meters of the right
solid whose base is the figure shown on the
left and whose sides are 200 centimeters tall?
Dimensions are in meters. All angles are right angles.

A | 800 m ^{3} |

B | 900 m ^{3} |

C | 840 m ^{3} |

D | 820 m ^{3} |

Question 24 |

The ratio of roses to snapdragons was 4 to 5. If there were 26,000 roses on the float, how
many snapdragons were there?

A | 32,500 |

B | 30,500 |

C | 34,200 |

D | 40, 000 |

Question 25 |

What is the total price of a $45.79 item when 7% sales tax is added?

A | $49.00 |

B | $52.79 |

C | $49.79 |

Question 26 |

Write a fraction equal to $\frac{\text{1}}{\text{2}}$ with a denominator of 6 and a fraction equal to $\frac{\text{1}}{\text{3}}$ with a
denominator of 6. Then add the fractions.

A | $\frac{\text{7.}}{\text{6}}$ |

B | $\frac{\text{5}}{\text{6}}$ |

C | 2 |

D | 3 |

Question 27 |

Find the surface area of this right solid. Dimensions are in centimeters.

A | 636 cm ^{2} |

B | 716 cm ^{2} |

C | 686 cm ^{2} |

D | 726 cm ^{2} |

E | 736 cm ^{2} |

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