Exhibit 99.1

Aptose Biosciences Inc.

Condensed Consolidated Interim Statements of Financial Position

(unaudited)

See accompanying notes to the condensed consolidated interim financial statements (unaudited)

Commitments, contingencies and guarantees (Note 10)

Aptose Biosciences Inc.

Condensed Consolidated Interim Statements of Loss and Comprehensive Loss

(unaudited)

See accompanying notes to the condensed consolidated interim financial statements (unaudited)

Aptose Biosciences Inc.

Condensed Consolidated Interim Statement of Changes in Equity

(unaudited)

Aptose Biosciences Inc.

Condensed Consolidated Interim Statements of Cash Flows

(unaudited)

See accompanying notes to the condensed consolidated interim financial statements (unaudited)

APTOSE BIOSCIENCES INC.

NOTES TO CONDENSED CONSOLIDATED INTERIM FINANCIAL STATEMENTS (Unaudited)

Three months ended March 31, 2015 and three months ended February 28, 2014

(Tabular amounts are in 000s)

Aptose Biosciences Inc. ("Aptose" or the "Company") is a clinical-stage biotechnology company committed to discovering and developing personalized therapies addressing unmet medical needs in oncology. Aptose is a publicly listed company incorporated under the laws of Canada. The Company's shares are listed on the Nasdaq Capital Markets and the Toronto Stock Exchange. The head office, principal address and records of the Company are located at 5955 Airport Road, Suite 228, Mississauga, Ontario, Canada, L4N 1R9

.

Aptose changed its name from Lorus Therapeutics Inc. effective August 28, 2014.

Effective July 17, 2014 the Company changed its fiscal year end from May 31 to December 31. As a result of that change the current reporting fiscal period is for the three months ended March 31, 2015 while the prior year comparative period is for the three months ended February 28, 2014 and therefore are not directly comparable to the current period.

(a) Statement of Compliance

These unaudited condensed consolidated interim financial statements of the Company as at March 31, 2015 were prepared in accordance with International Financial Reporting Standards (“IFRS”) and International Accounting Standard (“IAS”) 34, Interim Financial Reporting as issued by the International Accounting Standards Board (“IASB”) and does not include all of the information required for full annual financial statements. These unaudited condensed consolidated interim financial statements should be read in conjunction with the Company’s audited annual consolidated financial statements and accompanying notes.

The unaudited condensed consolidated interim financial statements of the Company were reviewed by the Audit Committee and approved and authorized for issue by the Board of Directors on May 5, 2015.

(b) Functional and presentation currency

The functional and presentation currency of the Company is the Canadian dollar (“$”).

(c) Significant accounting judgments, estimates and assumptions

The preparation of these unaudited condensed consolidated interim financial statements in accordance with IFRS requires management to make judgments, estimates and assumptions that affect the application of accounting policies and reported amounts of assets and liabilities at the date of the unaudited condensed consolidated interim financial statements and reported amounts of revenues and expenses during the reporting period. Actual outcomes could differ from these estimates. The unaudited condensed consolidated interim financial statements include estimates, which, by their nature, are uncertain. The impacts of such estimates are pervasive throughout the unaudited condensed consolidated interim financial statements, and may require accounting adjustments based on future occurrences. The estimates and underlying assumptions are reviewed on a regular basis. Revisions to accounting estimates are recognized in the period in which the estimate is revised and in any future periods affected.

The key assumptions concerning the future, and other key sources of estimation uncertainty as of the date of the statement of financial position that have a significant risk of causing material adjustment to the carrying amounts of assets and liabilities within the next fiscal year arise in connection with the valuation of contingent liabilities and valuation of tax accounts. Significant estimates also take place in connection with the valuation of share-based compensation, share purchase warrants and finders’ warrants.

The accompanying unaudited condensed consolidated interim financial statements are prepared in accordance with IFRS and follow the same accounting policies and methods of application as the audited consolidated financial statements of the Company for the seven months ended December 31, 2014. They do not include all of the information and disclosures required by IFRS for annual financial statements. In the opinion of management, all adjustments considered necessary for fair presentation have been included in these unaudited condensed consolidated interim financial statements. Operating results for the three month period ended March 31, 2015 are not necessarily indicative of the results that may be expected for the full year ended December 31, 2015. For further information, see the Company’s audited consolidated financial statements including notes thereto for the seven months ended December 31, 2014.

APTOSE BIOSCIENCES INC.

NOTES TO CONDENSED CONSOLIDATED INTERIM FINANCIAL STATEMENTS (Unaudited)

Three months ended March 31, 2015 and three months ended February 28, 2014

(Tabular amounts are in 000s)

Standards and Interpretations Adopted in Fiscal 2015

There were no new accounting standards adopted during the three months ended March 31, 2015.

The Company’s objectives when managing capital are to:

The capital structure of the Company consists of cash and cash equivalents, investments and equity comprised of share capital, share purchase warrants, stock options, contributed surplus and deficit. The Company manages its capital structure and makes adjustments to it in light of economic conditions. The Company, upon approval from its Board of Directors, will balance its overall capital structure through new share issuances, acquiring or disposing of assets, adjusting the amount of cash balances or by undertaking other activities as deemed appropriate under the specific circumstances.

The Company is not subject to externally imposed capital requirements.

The Company’s overall strategy with respect to capital risk management remains unchanged from the seven months ended December 31, 2014.

Cash and cash equivalents consists of cash of $311 thousand (December 31, 2014 - $293 thousand) and funds deposited into high interest savings accounts totalling $12.317 million (December 31, 2014 - $14.072 million). The current interest rate earned on these deposits is between 1.2% and 1.25% (December 31, 2014 – 1.2-1.25%).

As at March 31, 2015 and December 31, 2014, short term investments consist of guaranteed investment certificates with Canadian financial institutions having high credit ratings. Short-term investments include twelve investments (December 31, 2014 – twelve investments) with maturity dates from April 22, 2015 to June 19, 2016 (December 31, 2014 – April 22, 2015 to June 19, 2016), bearing an interest rate from 1.50% to 2.10% (May 31, 2014 – 1.56% to 1.85%) per annum. Included in the investments balance are $8.1 million in investments that mature in fiscal 2016.

The Company has classified its financial instruments as follows:

At March 31, 2015, there are no significant differences between the carrying values of these amounts and their estimated market values.

APTOSE BIOSCIENCES INC.

NOTES TO CONDENSED CONSOLIDATED INTERIM FINANCIAL STATEMENTS (Unaudited)

Three months ended March 31, 2015 and three months ended February 28, 2014

(Tabular amounts are in 000s)

The Company has exposure to credit risk, liquidity risk and market risk. The Company's Board of Directors has the overall responsibility for the oversight of these risks and reviews the Company's policies on an ongoing basis to ensure that these risks are appropriately managed.

Credit risk is the risk of financial loss to the Company if a customer, partner or counterparty to a financial instrument fails to meet its contractual obligations, and arises principally from the Company's cash and cash equivalents. The carrying amount of the financial assets represents the maximum credit exposure.

The Company manages credit risk for its cash and cash equivalents and investments by maintaining minimum standards of R1-low or A-low investments and the Company invests only in highly rated Canadian corporations with debt securities that are traded on active markets and are capable of prompt liquidation.

Liquidity risk is the risk that the Company will not be able to meet its financial obligations as they come due. To the extent that the Company does not believe it has sufficient liquidity to meet its current obligations, the Board considers securing additional funds through equity, debt or partnering transactions. The Company manages its liquidity risk by continuously monitoring forecasts and actual cash flows.

Market risk is the risk that changes in market prices, such as interest rates, foreign exchange rates and equity prices will affect the Company's income or the value of its financial instruments.

The Company is subject to interest rate risk on its cash and cash equivalents and investments. The Company does not believe that the results of operations or cash flows would be affected to any significant degree by a sudden change in market interest rates relative to interest rates on the investments, owing to the relative short-term nature of the investments. The Company does not have any material interest bearing liabilities subject to interest rate fluctuations.

Financial instruments potentially exposing the Company to foreign exchange risk consist principally of accounts payable and accrued liabilities. The Company holds minimal amounts of U.S. dollar denominated cash, purchasing on an as needed basis to cover U.S. dollar denominated payments. At March 31, 2015, U.S. dollar denominated accounts payable and accrued liabilities amounted to US$740 thousand (December 31, 2014 - US$565 thousand). Assuming all other variables remain constant, a 10% depreciation or appreciation of the Canadian dollar against the U.S. dollar would result in an increase or decrease in loss for the year and comprehensive loss of US$74 thousand (December 31, 2014- US$57 thousand). The Company does not have any forward exchange contracts to hedge this risk.

The Company does not invest in equity instruments of other corporations.

The Company is authorized to issue an unlimited number of common shares.

Continuity of common shares and warrants

APTOSE BIOSCIENCES INC.

NOTES TO CONDENSED CONSOLIDATED INTERIM FINANCIAL STATEMENTS (Unaudited)

Three months ended March 31, 2015 and three months ended February 28, 2014

(Tabular amounts are in 000s)

In addition to the cash proceeds received, the original fair value related to these warrants of $8 thousand was transferred from warrants to share capital. This resulted in a total amount of $33 thousand credited to share capital.

Summary of outstanding warrants:

Contributed surplus is comprised of the cumulative grant date fair value of expired share purchase warrants and expired stock options as well as the cumulative amount of previously expensed and unexercised equity settled share-based payment transactions.

APTOSE BIOSCIENCES INC.

NOTES TO CONDENSED CONSOLIDATED INTERIM FINANCIAL STATEMENTS (Unaudited)

Three months ended March 31, 2015 and three months ended February 28, 2014

(Tabular amounts are in 000s)

Loss per common share is calculated using the weighted average number of common shares outstanding for the three month periods ending March 31, 2015 and February 28, 2014 calculated as follows:

The effect of any potential exercise of our stock options and warrants outstanding during the year has been excluded from the calculation of diluted loss per common share as it would be anti-dilutive.

During the three months ended March 31, 2015, $150 thousand promissory notes due in September 2015 incurring interest at a rate of 10% and with a carrying value of $140 thousand were converted into 42 thousand common shares of the Company.

APTOSE BIOSCIENCES INC.

NOTES TO CONDENSED CONSOLIDATED INTERIM FINANCIAL STATEMENTS (Unaudited)

Three months ended March 31, 2015 and three months ended February 28, 2014

(Tabular amounts are in 000s)

The following assumptions were used in the Black-Scholes option-pricing model to determine the fair value of stock options granted during the following periods:

Stock options granted by the Company during the three months ended March 31, 2015 vest 50%, 25% and 25% on each of the next three anniversaries.

Stock options granted by the Company during the three months ended February 28, 2014 consisted of 70,834 options that vested 50% upon issuance and 25% on each of the next two anniversaries and 70,417 options which vest 50%, 25% and 25% on each of the next three anniversaries.

Refer to note 10 for a breakdown of stock option expense by function.

The Company has reserved up to 1,780,000 common shares for issuance relating to outstanding options, rights and other entitlements under the stock based compensation plans of the Company as of March 31, 2015.

Net change in non-cash operating working capital is summarized as follows:

Components of research and development expenses:

APTOSE BIOSCIENCES INC.

NOTES TO CONDENSED CONSOLIDATED INTERIM FINANCIAL STATEMENTS (Unaudited)

Three months ended March 31, 2015 and three months ended February 28, 2014

(Tabular amounts are in 000s)

Components of general and administrative expenses:

The Company has entered into various contracts with service providers with respect to the clinical development of APTO-253. These contracts could result in future payment commitments of up to approximately $2.1 million over the related service period. Of this amount, $117 thousand has been paid and $120 thousand has been accrued at March 31, 2015. The payments are based on services performed and amounts may be higher or lower based on actual services performed.

In March 2015 the Company entered into an agreement with the Moores Cancer Center at the University of California San Diego (UCSD) to provide pharmacology lab services to the Company. Dr. Stephen Howell is the Acting Chief Medical Officer of Aptose and is also a Professor of Medicine at UCSD and will be overseeing the laboratory work. The research services will be provided from April 1, 2015 to March 31, 2016 for an annual fee of USD$154,456 to be paid to UCSD in monthly installments.

This transaction is in the normal course of business and will be measured at the exchange amount, which is the amount of consideration established and agreed to by the related parties.

Subsequent to the quarter end, 18 thousand warrants were exercised into 18 thousand common shares of the Company at a price of $6.60 per share for proceeds of $121 thousand.

In the month of April the Company converted $9.7 million Canadian dollars into $7.98 million US dollars. Assuming all other variables remain constant, a 10% depreciation or appreciation of the Canadian dollar against the U.S. dollar would result in an increase or decrease in loss for the year and comprehensive loss of $798 thousand.