Chapter 3

Mathematics Knowledge: Making Sure the Answers Add Up

The ASVAB’s Mathematics Knowledge subtest is a big deal. It forms a large part of your AFQT score, so you need to do well on it to pass muster. This subtest covers a big range of mathematical concepts, including arithmetic, algebra, and geometry, so it’s a good idea to dust off the corners of your brain where you stashed all this knowledge during high school. You’re going to find questions that include fractions, square roots, inequalities, factoring, graphing, and much more on the test. You’ll have 20 minutes to answer 16 Mathematics Knowledge questions on the computerized ASVAB or 24 minutes to answer 25 questions on the paper version. Calculators are not allowed.

The Questions You’ll Work On

The Mathematics Knowledge subtest includes the following:

  • Basic mathematics: These questions include ratios, scientific notation, and arithmetic (such as addition, subtraction, multiplication, and division).
  • Fractions: These questions ask you to work with parts of a whole by multiplying, dividing, adding, subtracting, and converting fractions.
  • Algebra: These questions require you to solve equations and inequalities, factor, solve for variables, and work with exponents. You’ll even find a few quadratic equations.
  • Geometry: These questions ask you to define the properties of figures, find angles and relationships between points, and measure specific distances.

What to Watch Out For

When you work on the Mathematics Knowledge questions, keep these tips in mind:

  • The order of operations is important, so remember the acronym PEMDAS for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
  • Read the problem thoroughly before trying to calculate an answer.
  • Write out the full problem before you start your calculations. That way, you can spot opportunities to cross-cancel fractions.
  • Reduce fractions to their lowest terms.
  • Keep an eye on units of measurement, and make sure you’re using the same ones across the board.
  • You get unlimited scratch paper when you take the ASVAB, so use it to work out solutions and draw diagrams whenever possible. Visualizing a problem often makes solving it easier.

Fractions

501. Solve: images

(A) images

(B) images

(C) images

(D) images

502. Solve: images

(A) images

(B) images

(C) images

(D) images

503. Solve: images

(A) images

(B) images

(C) images

(D) images

504. Simplify: images

(A) images

(B) images

(C) images

(D) images

505. Reduce to lowest terms: images

(A) images

(B) images

(C) images

(D) images

506. Simplify: images

(A) images

(B) images

(C) images

(D) images

507. Solve: images

(A) 2

(B) 3

(C) 5

(D) 6

508. Which fractions are not equivalent?

(A) images

(B) images

(C) images

(D) images

509. Solve: images

(A) images

(B) images

(C) images

(D) images

510. Simplify: images

(A) images

(B) images

(C) images

(D) images

Percentages

511. Find 25 percent of 200.

(A) 50

(B) 25

(C) 15

(D) 12.5

512. 250 is 40% of what number?

(A) 650

(B) 625

(C) 6,250

(D) 6,500

513. 8 is what percent of 20?

(A) 35

(B) 16

(C) 20

(D) 40

514. 15 is what percent of 375?

(A) 45

(B) 5

(C) 6

(D) 4

515. 450 is 75% of what number?

(A) 650

(B) 550

(C) 600

(D) 675

516. What is 33% of 120?

(A) 39

(B) 40.6

(C) 39.6

(D) 38.9

517. What is 55% of 150?

(A) 75

(B) 83.5

(C) 80

(D) 82.5

518. Find 8.6% of 310.

(A) 26.66

(B) 25.8

(C) 25.68

(D) 28.56

519. What percent of 56 is 14?

(A) 30

(B) 28

(C) 25

(D) 22.5

520. Find 12.5% of 989. Convert the answer into a fraction.

(A) 123.375

(B) images

(C) images

(D) 865.375

Ratios

521. Express the ratio of ducks to geese: There are 16 ducks and 9 geese in a park.

(A) images

(B) images

(C) images

(D) Both B and C

522. Express the ratio of women to men as a fraction and simplify: There are 15 women and 20 men in the group.

(A) images

(B) images

(C) images

(D) images

523. The ratio of a to b to c to d to e is 5 to 4 to 3 to 2 to 1. If images, what is the value of c?

(A) 24

(B) 36

(C) 63

(D) 61

524. There are 27 males and 38 females in Group A, and there are 42 females and 26 males in Group B. Express these relationships as a pair of ratios of males to females.

(A) images

(B) images

(C) images

(D) images

525. Use a height-to-width ratio to express the fact that a horse is 7 feet, 6 inches tall and 10 feet long.

(A) images

(B) images

(C) images

(D) images

526. Solve for images if images and images:

images

(A) 1,200

(B) 10,500

(C) 1,500

(D) Not enough information provided

527. Convert 297.85 centimeters to feet.

(A) 10 feet

(B) 9 feet

(C) 8 feet

(D) 11 feet

528. Convert 12.8 meters to centimeters.

(A) 12,800 cm

(B) 1,280 cm

(C) 1,300 cm

(D) 1,250 cm

529. One of 20 dogs at the shelter has three legs, two ears, and one tail. Express the ratio of dogs that have three legs to the remaining dogs as a fraction.

(A) images

(B) images

(C) images

(D) images

530. The ratio of 1.5 to 32 equals the ratio of images to x. Solve for x.

(A) 0.4

(B) 0.45

(C) 0.39

(D) 0.43

Scientific Notation

531. Express 7,000 in scientific notation.

(A) images

(B) images

(C) images

(D) images

532. Express 0.59784 in scientific notation.

(A) images

(B) images

(C) images

(D) images

533. Express 6,000,000 in scientific notation.

(A) images

(B) images

(C) images

(D) images

534. Multiply images and images.

(A) images

(B) images

(C) images

(D) images

535. What number does images represent?

(A) 854,345

(B) 8,543,450

(C) 0.0854345

(D) 0.854345

Square Roots

536. Solve: images

(A) 9

(B) 6

(C) 7

(D) 8

537. Simplify: images

(A) images

(B) images

(C) images

(D) images

538. Solve images when images

(A) images

(B) 25

(C) 1.5

(D) 15

539. Simplify: images

(A) images

(B) images

(C) images

(D) images

540. Solve: images

(A) 114

(B) 7

(C) 12

(D) 8

Algebra

541. Solve for a: images

(A) 3

(B) 4

(C) 5

(D) 6

542. Solve for x:

images

(A) 4

(B) 3

(C) –1

(D) 12

543. Solve for x: images

(A) 35

(B) –35

(C) 29

(D) –29

544. Solve for x: images

(A) 3

(B) 14

(C) 21

(D) 12

545. Solve for a: images

(A) images

(B) images

(C) images

(D) Not enough data

546. What is images in slope-intercept form?

(A) images

(B) images

(C) images

(D) images

547. Solve for x: images

(A) 5

(B) 17

(C) 6

(D) 8

548. Convert into a mathematical expression:

The fourth root of 239 equals the log with respect to the base a of the product of x and y.

(A) images

(B) images

(C) images

(D) images

549. Solve for x: images

(A) –8

(B) 4

(C) –9

(D) 9

550. Solve for y: images

(A) 14

(B) 13

(C) –14

(D) 17

551. Solve for x: images

(A) 3

(B) –2

(C) –3

(D) 4

552. Solve for x: images

(A) 9

(B) 8

(C) 8.5

(D) 11

553. Solve for x: images

(A) 4

(B) 6

(C) –6

(D) 22

554. Simplify: images

(A) images

(B) images

(C) images

(D) images

555. Express in standard form: images

(A) images

(B) images

(C) images

(D) images

556. Simplify: images

(A) images

(B) images

(C) images

(D) images

557. Solve for x: images

(A) 294

(B) 295

(C) 290

(D) 6

558. Rewrite in slope-intercept form: images

(A) images

(B) images

(C) images

(D) images

559. Solve: images

(A) images

(B) images

(C) images

(D) images

560. Factor: images

(A) images

(B) images

(C) images

(D) images

561. Solve for x: images

(A) –22

(B) 23

(C) –23

(D) –24

562. Factor: images

(A) images

(B) images

(C) images

(D) images

563. Simplify: images

(A) images

(B) images

(C) images

(D) images

564. Solve: images

(A) images

(B) images

(C) images

(D) images

565. Identify: images

(A) image

(B) image

(C) image

(D) image

566. Solve for x: images

(A) 24

(B) 17

(C) –17

(D) –19

567. Find the equation for a straight line with a slope of 4 that passes through the point images.

(A) images

(B) images

(C) images

(D) images

568. Simplify: images

(A) images

(B) images

(C) images

(D) images

569. If images and images, solve: images

(A) 100

(B) 110

(C) 120

(D) 95

570. Solve for x: images

(A) 11

(B) 9

(C) 18

(D) 6

571. Reduce to the lowest terms: images

(A) images

(B) images

(C) images

(D) images

572. images

(A) images

(B) images

(C) images

(D) images

573. Solve for x: images

(A) 4y

(B) 6y

(C) 4

(D) 5

574. Solve for x: images

(A) images

(B) images

(C) images

(D) images

575. Which of the following is true if images?

(A) images

(B) images

(C) images

(D) All of the above

576. Solve for a: images

(A) 4

(B) 3

(C) 2

(D) –2

577. Simplify: images

(A) images

(B) images

(C) images

(D) images

578. Solve: images

(A) images

(B) images

(C) images

(D) images

579. If images and images solve for z: images

(A) –1

(B) 0

(C) 1

(D) 2

580. Solve for x: images

(A) 6

(B) 6 or –6

(C) 36 or –36

(D) 36

581. Solve for c: images

(A) 30

(B) 3

(C) –3

(D) 60

582. Factor: images

(A) images

(B) images

(C) images

(D) images

583. Solve: images

(A) images

(B) images

(C) images

(D) 2

584. Solve: images

(A) images

(B) images

(C) images

(D) images

585. images

(A) images

(B) images

(C) images

(D) images

586. Solve for x: images

(A) 3

(B) 2

(C) images

(D) images

587. If images and images, then

(A) images

(B) images

(C) both A and B are correct.

(D) none of the above.

588. Solve for x: images

(A) 9

(B) –9

(C) 11

(D) 12

589. Solve the system:

images

(A) images

(B) images

(C) images

(D) images

590. Solve for y: images

(A) 7

(B) 6

(C) 10

(D) 9

591. Solve: images

(A) 4

(B) 3

(C) –4

(D) 7

592. Find the equation of the line that passes through images and images.

(A) images

(B) images

(C) images

(D) images

593. Given images in the complex plane, which of the following is not true?

(A) images

(B) images

(C) images

(D) images

594. Simplify: images

(A) images

(B) images

(C) images

(D) images

595. Find the equation for a line with a slope of 50 and a y-intercept of 32.

(A) images

(B) images

(C) images

(D) images

596. Choose the appropriate graph for images.

(A) image

(B) image

(C) image

(D) image

597. If images and images, then images

(A) 30

(B) –420

(C) 420

(D) –30

598. Solve for y if images, images, and images: images

(A) 58

(B) 57

(C) 51

(D) 60

599. Solve: images

(A) images

(B) images

(C) images

(D) images

600. Identify the group of prime numbers.

(A) 2, 3, 5

(B) 7, 9, 11

(C) 2, 4, 6

(D) 6, 7, 9

601. Solve for x: images

(A) 5

(B) 4

(C) 0.5

(D) 2

602. What is the greatest common factor of 10 and 100?

(A) 10

(B) 1

(C) 100

(D) 50

603. Solve for p: images

(A) 2

(B) 3

(C) –5

(D) 5

604. If images, solve for y: images

(A) 100

(B) –60

(C) 60

(D) 160

605. Solve for x: images

(A) 0

(B) –1

(C) –2

(D) 1

606. Solve for a: images

(A) –2

(B) 3

(C) 2

(D) 1

607. Solve for x: images

(A) 4

(B) 1

(C) 3

(D) All of the above

608. Solve: images

(A) 1

(B) –1

(C) 0

(D) 6

609. Simplify: images

(A) images

(B) images

(C) images

(D) images

610. Solve for x: images

(A) 2

(B) 2x

(C) images

(D) 4

611. Simplify: images

(A) images

(B) images

(C) images

(D) images

612. Solve for x: images

(A) images

(B) 1

(C) images

(D) images

613. Solve: images

(A) images

(B) images

(C) images

(D) images

614. Solve for x: images

(A) 12

(B) 9

(C) 8

(D) 6

615. Simplify: images

(A) images

(B) images

(C) images

(D) images

616. Simplify: images

(A) images

(B) images

(C) images

(D) images

617. If images, images, and images, solve for x: images

(A) images

(B) images

(C) images

(D) images

618. Find the equation for a line with a slope of 4 when images and images.

(A) images

(B) images

(C) images

(D) images

619. Find the equation of the line that passes through the points images and images.

(A) images

(B) images

(C) images

(D) images

620. Factor: images

(A) images

(B) images

(C) images

(D) images

621. Solve for x: images

(A) images

(B) images

(C) Both A and B are correct.

(D) Neither A nor B is correct.

622. Solve for x: images

(A) images

(B) images

(C) images

(D) images

623. Factor: images

(A) images

(B) images

(C) images

(D) images

624. Find y: images

(A) images

(B) images

(C) images

(D) images

625. Solve for x: images

(A) images

(B) images

(C) images

(D) images

626. Solve for x: images

(A) 36

(B) 6

(C) 8

(D) 16

627. Solve for x: images

(A) images

(B) 2

(C) images

(D) images

628. Solve for x when images and images.

(A) images

(B) images

(C) images

(D) images

629. Express x as greater than or equal to 3 in interval notation.

(A) images

(B) images

(C) images

(D) images

630. Solve for b: images

(A) 7

(B) images

(C) 7.5

(D) 4

631. Solve for x: images

(A) images

(B) 3

(C) 2

(D) 5

632. If images, find 6x.

(A) 6

(B) 36

(C) 2

(D) 24

633. Simplify: images

(A) images

(B) images

(C) images

(D) images

634. Simplify: images

(A) images

(B) images

(C) images

(D) images

635. Solve for x: images

(A) images

(B) images

(C) 3

(D) 6

636. Solve for x: images

(A) 2

(B) 1

(C) 3

(D) 0

637. Solve for c: images

(A) 3.5

(B) 3

(C) 2.5

(D) 2

638. Simplify: images

(A) images

(B) images

(C) images

(D) images

639. Express a quantity with a coefficient of 3, a base of x, and an exponent of 5.

(A) images

(B) images

(C) images

(D) images

640. Solve for a if images: images

(A) 3

(B) 2

(C) 4

(D) 6

Quadratic Equations

641. Solve for x: images

(A) images

(B) images

(C) images

(D) images

642. Express as a quadratic equation: images

(A) images

(B) images

(C) images

(D) images

643. Solve for x: images

(A) images

(B) images

(C) images

(D) images

644. Solve for x by factoring: images

(A) images

(B) images

(C) images

(D) images

645. Solve for x: images

(A) images

(B) images

(C) images

(D) images

646. Solve for x: images

(A) images

(B) images

(C) images

(D) Not enough data

647. Solve: images

(A) images

(B) images

(C) images

(D) images

648. Solve: images

(A) images

(B) images

(C) images

(D) images

649. Solve for x: images

(A) images

(B) images

(C) images

(D) images

650. Solve: images

(A) images

(B) images

(C) images

(D) images

Geometry

651. According to the figure, the intersection of line a is a

image

(A) parallel line.

(B) right angle.

(C) transversal.

(D) complementary angle.

652. Find the perimeter of the right triangle:

image

(A) 35 cm

(B) 36 cm

(C) 21 cm

(D) 15 cm

653. In the figure below, which angles are complementary?

image

(A) images

(B) images

(C) images

(D) images

654. Find the area:

image

(A) 56.25 m3

(B) 56.75 m2

(C) 56.5 m2

(D) 56.25 m2

655. According to the figure, the angles formed by ray DB intersecting images are

image

(A) supplementary

(B) right

(C) complementary

(D) parallel

656. The polygon depicted here is a/an _______________ polygon.

image

(A) hexagonal

(B) convex

(C) perpendicular

(D) equilateral

657. Find the area:

image

(A) 72 sq. ft

(B) 60 sq. ft

(C) 18 sq. ft

(D) None of the above

658. What is the formula to find the volume of a cube?

(A) images

(B) images

(C) images

(D) images

659. Identify the Pythagorean theorem.

(A) images

(B) images

(C) images

(D) images

660. Find the length of b:

image

(A) 24 cm

(B) 12 cm

(C) 6 cm

(D) 33 cm

661. What is the measure of angle x if L1 and L2 are parallel lines?

image

(A) 30°

(B) –40°

(C) 40°

(D) 50°

662. Find the area of sector c:

image

(A) 30.3 ft2

(B) 50.5 ft2

(C) 51 ft2

(D) 50.6 ft2

663. Find the area of this square:

image

(A) 125 sq. in.

(B) 25 sq. in.

(C) 10 sq. in.

(D) 15 sq. in.

664. Find the measure of the interior angle x:

image

(A) 206°

(B) 16°

(C) 26°

(D) 36°

665. Find angle b:

image

(A) 120°

(B) 125°

(C) 104°

(D) 130°

666. Find the perimeter of this square:

image

(A) 16 ft

(B) images

(C) 12 ft

(D) 8 ft

667. Find the surface area:

image

(A) 48 square yards

(B) 72 square yards

(C) 90 square yards

(D) 96 square yards

668. Find the measure of ∠C:

image

(A) 106°

(B) 16°

(C) 36°

(D) 30°

669. Which of the following statements is true of a line?

(A) It has only one dimension.

(B) It stops at two points.

(C) It has a finite length.

(D) It has width.

670. Find the total area:

image

(A) 1,050 ft2

(B) 176 ft2

(C) 352 ft2

(D) 1,100 ft2

671. Find the perimeter:

image

(A) 88 ft

(B) 161 ft

(C) 145 ft

(D) 146 ft

672. Find the area of the polygon if the apothem a is 10:

image

(A) 1,100 mm2

(B) 1,000 mm2

(C) 1,050 mm2

(D) 350 mm2

673. Find x:

image

(A) 10

(B) 5

(C) 4

(D) 8

674. Find the measure of images:

image

(A) 120°

(B) 60°

(C) 180°

(D) 90°

675. Find the measure of images:

image

(A) 35°

(B) 45°

(C) 55°

(D) 40°

676. Find x, y, and z:

image

(A) images

(B) images

(C) images

(D) images

677. Find y:

image

(A) 72°

(B) 70°

(C) 64°

(D) 80°

678. Label angle a:

image

(A) images

(B) images

(C) images

(D) images

679. Identify the type of angle depicted:

image

(A) Obtuse

(B) Straight

(C) Acute

(D) Right

680. Find the perimeter:

image

(A) 60 ft

(B) 100 ft

(C) 37.5 ft

(D) 75 ft

681. Find the measure of images in images:

image

(A) 70°

(B) 78°

(C) 64°

(D) 112°

682. Find x:

image

(A) 220°

(B) 230°

(C) 50°

(D) 170°

683. Identify the complementary angles:

image

(A) images

(B) images

(C) images

(D) images

684. Find the area:

image

(A) 165 sq. in.

(B) 150 sq. in.

(C) 330 sq. in.

(D) 68 sq. in.

685. Find the area:

image

(A) images

(B) images

(C) images

(D) images

686. The formula for finding the radius of a circle is

(A) images

(B) images

(C) images

(D) images

687. Find the area of the circle:

image

(A) 28.26 in.2

(B) 30 in.2

(C) 25.8 in.2

(D) 24 in.2

688. Find the radius of the circle:

image

(A) images

(B) images

(C) images

(D) images

689. Identify the standard formula to find the perimeter of a rectangle:

(A) images

(B) images

(C) images

(D) images

690. Find the area of the circle:

image

(A) 75 in.2

(B) 78.5 in.2

(C) 75.8 in.2

(D) 78 in.2

691. Find the radius:

image

(A) 79 cm

(B) 52.7 cm

(C) 49.6 cm

(D) 78 cm

692. Find the circumference of the circle:

image

(A) 58.8 meters

(B) 60 meters

(C) 62 meters

(D) 62.8 meters

693. Find the perimeter:

image

(A) 47.5 cm

(B) 49 cm

(C) 41 cm

(D) 56 cm

694. Find the circumference of the circle:

image

(A) images

(B) images

(C) images

(D) images

695. Find the radius of the circle:

image

(A) images

(B) images

(C) images

(D) images

696. Find the perimeter:

image

(A) 17.4 m

(B) 14.5 m

(C) 20.3 m

(D) 23.2 m

697. Find the volume of the cube:

image

(A) 72 cubic inches

(B) 9 cubic inches

(C) 27 cubic inches

(D) 81 cubic inches

698. Find the area:

image

(A) 262 cm2

(B) 245 cm2

(C) 62 cm2

(D) 240 cm2

699. Find the volume of the cube:

image

(A) 3,375 cubic feet

(B) 3,300 cubic feet

(C) 2,500 cubic feet

(D) 3,500 cubic feet

700. Find the volume of the right square pyramid:

image

(A) 450 cm3

(B) 500 cm3

(C) 1,500 cm3

(D) 150 cm3

701. Find the volume:

image

(A) 960 mm3

(B) 480 mm3

(C) 120 mm3

(D) 840 mm3

702. Identify the triangle:

image

(A) Equilateral

(B) Scalene

(C) Isosceles

(D) Right

703. The interior angles of a quadrilateral add up to

(A) 180°.

(B) 90°.

(C) 360°.

(D) 270°.

704. Find the volume:

image

(A) 212 cubic feet

(B) 216 cubic feet

(C) 360 cubic feet

(D) 300 cubic feet

705. Find the volume:

image

(A) 314 cm3

(B) 7,850 cm3

(C) 785 cm3

(D) 8,850 cm3

706. The formula to find the circumference of a circle is

(A) images

(B) images

(C) images

(D) images

707. Find the circumference:

image

(A) 18.84 meters

(B) 21 meters

(C) 17.75 meters

(D) 18.12 meters

708. Find the volume:

image

(A) 4,069.44 ft3

(B) 4,960.39 ft3

(C) 1,620 ft3

(D) 4,169.25 ft3

709. Find the volume:

image

(A) 3,700 cubic inches

(B) 5,000 cubic inches

(C) 250 cubic inches

(D) 3,750 cubic inches

710. Find the diameter:

image

(A) 12 units

(B) 24 units

(C) 30 units

(D) 25 units

711. Find the area:

image

(A) images

(B) images

(C) images

(D) images

712. Identify the figure:

image

(A) Pentagon

(B) Quadrilateral

(C) Four-sided triangle

(D) Hexagon

713. Identify the lines that appear to be parallel:

image

(A) Lines a and c

(B) Lines c and b

(C) Lines a and d

(D) None of the lines are parallel.

714. Find the area of the shaded region:

image

(A) images

(B) images

(C) 20 in.2

(D) 16 in.2

715. Find the area:

image

(A) 100 cm2

(B) 1,000 cm2

(C) 500 cm2

(D) 890 cm2

716. Find the measure of angle d:

image

(A) 160°

(B) 45°

(C) 35°

(D) 40°

717. Angle b is a(n)

image

(A) acute angle.

(B) straight angle.

(C) obtuse angle.

(D) reflex angle.

718. Identify the points:

image

(A) (4, 2), (7, 7)

(B) (2, 4), (7, 7)

(C) (4, 2), (6, 8)

(D) (2, 4), (8, 6)

719. Find the measure of the angle in the shaded portion:

image

(A) 90°

(B) 270°

(C) 180°

(D) 45°

720. Find the area of the kite:

image

(A) 45 in.2

(B) 27.5 in.2

(C) 22 in.2

(D) 22.5 in.2

721. Find the measure of the angle:

image

(A) 43°

(B) 18°

(C) 43.2°

(D) 44°

722. Find the perimeter:

image

(A) 67 m

(B) 38 m

(C) 68 m

(D) 75 m

723. Find the area:

image

(A) 81 m2

(B) 47 m2

(C) 75 m2

(D) 78 m2

724. Find the value of a:

image

(A) 90°

(B) 112°

(C) 45°

(D) Not enough data.

725. Lines x and y are parallel lines. Which angles are congruent angles?

image

(A) images

(B) images

(C) images

(D) Both A and B

726. Find the area:

image

(A) 8,199 m2

(B) 819,600 m2

(C) 8,196 m2

(D) 81.96 m2

727. These angles are

image

(A) congruent.

(B) obtuse.

(C) complementary.

(D) congruent and obtuse.

728. Classify this angle:

image

(A) Right

(B) Acute

(C) Straight

(D) Reflex

729. Find the surface area:

image

(A) 2,800 cm2

(B) 2,820 cm2

(C) 2,826 cm2

(D) 2,152 cm2

730. Identify the interior angles:

image

(A) c, d, e, f

(B) c, d, e, h

(C) f, g, a, b

(D) a, b, f, g

731. Find the measure of angle x:

image

(A) 112°

(B) 52°

(C) 137°

(D) 189°

732. Find the volume:

image

(A) 898 in.3

(B) 815 in.3

(C) 964 in.3

(D) 864 in.3

733. Find the measure of angle a:

image

(A) 118°

(B) 108°

(C) 45°

(D) 120°

734. Find the surface area of the cylinder:

image

(A) 216 m2

(B) 678.24 m2

(C) 216.85 m2

(D) 678.14 m2

735. The interior angles in a triangle add up to

(A) 90°

(B) 120°

(C) 150°

(D) 180°

736. Find the measure of images:

image

(A) 140°

(B) 120°

(C) 130°

(D) 180°

737. Identify this triangle:

image

(A) Isosceles

(B) Obtuse

(C) Right

(D) Equilateral

738. Find the measure of angle a:

image

(A) 15°

(B) 145°

(C) 35°

(D) 25°

739. Find the hypotenuse:

image

(A) 12 cm

(B) 15 cm

(C) 13 cm

(D) 16.9 cm

740. Find the area of the base:

image

(A) 290 in.2

(B) 289 in.2

(C) 340 in.2

(D) 329 in.2

741. Find the measure of angle C in the parallelogram:

image

(A) 60°

(B) 55°

(C) 54°

(D) 50°

742. Find the area if images and images:

image

(A) 70 ft2

(B) 24 ft2

(C) 35 ft2

(D) 60 ft2

743. Find the area of the shaded region of the square:

image

(A) 25 ft2

(B) 90 ft2

(C) 75 ft2

(D) 80 ft2

744. Find the circumference of the circle:

image

(A) 5 cm

(B) 15.1 cm

(C) 16 cm

(D) 15.7 cm

745. Find the measure of angle A:

image

(A) 45°

(B) 60°

(C) 75°

(D) 90°

746. Find the measure of angle T:

image

(A) 84°

(B) 96°

(C) 92°

(D) 87°

747. Find the area:

image

(A) 9 in.2

(B) 12 in.2

(C) 30 in.2

(D) 11 in.2

748. Find the measure of each arc in the circle, assuming that each sector is equal:

image

(A) 40°

(B) 36°

(C) 45°

(D) 42.5°

749. Find x:

image

(A) 41°

(B) 28.5°

(C) 57°

(D) 28°

750. Find the area:

image

(A) 143.75 in.2

(B) 145.5 in.2

(C) 147.75 in.2

(D) 148 in.2

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