UTME/SSCE Mathematics Practice Tests (SS1 – SS3) – Number Bases

Mathematics Practice Tests (SS1 – SS3) – Number Bases


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The following simultaneous equations are written in base two

11x + 10y = 100012
10x - y = 102

Solve the equations leaving your answers in base two. What is the value of x?

A. 10     B. 11     C. 110     D. 100

Convert 110011012 to a number in denary.

A. 200ten     B. 205ten     C. 210ten     D. 215ten

Evaluate 101122 - 10122

A. 1100002     B. 1102     C. 11000002     D. 110002

Convert 1100.11012 to base 10

A. 13\frac{12}{13}     B. 3\frac{2}{3}     C. 12\frac{13}{16}      D. \frac{2}{3}

If 145x + 123x = 312x, find the value of x

A. 6     B. 7     C. 8     D. 9

Express 1111112 in octal

A. 112     B. 223     C. 554     D. 778

Express 0.4375 in base 10 as a binary number.

A. 01112     B. 0.1112     C. 0.001112     D. 0.01112

Given that 124n = 648, find the value of n.

A. -8    B. -6    C. 8    D. 6

Evaluate 4610eight - 2675eight

A. 1713eight     B. 1731eight     C. 1735eight     D. 1935eight

Convert 11011two to denary

A. 27ten     B. 29ten     C. 49ten     D. 51ten

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